Fractions and Operations in Math
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Questions and Answers

What is the correct term for the fraction that has a numerator larger than its denominator?

  • Mixed number
  • Proper fraction
  • Complex fraction
  • Improper fraction (correct)

Which expression represents multiplying a whole number by a fraction?

  • 3 × 4
  • 5 × 2/4 (correct)
  • 2 × 4
  • 4 ÷ 3

In a recipe if you need 10 of an ingredient for six servings, what fraction of the ingredient is necessary per serving?

  • 5/6
  • 1/10
  • 10/6
  • 1/6 (correct)

What is the average mass of a porcupine compared to a raccoon if the porcupine weighs 12 kg?

<p>Porcupine is heavier by 6 kg (A)</p> Signup and view all the answers

Which statement accurately defines a mixed number?

<p>A number consisting of a whole part and a fractional part (C)</p> Signup and view all the answers

Which method can be used to evaluate an expression involving fractions?

<p>Manipulatives or diagrams (C)</p> Signup and view all the answers

What fraction expresses the portion of the year Regina experiences fog if it is about four times less than wet weather?

<p>1/12 (D)</p> Signup and view all the answers

What is the correct order to evaluate an expression?

<p>Multiplication, Division, Addition (D)</p> Signup and view all the answers

What is the approximate value of pi used for calculating the circumference of a circle?

<p>22/7 (B)</p> Signup and view all the answers

If a circle has a diameter of 14 cm, what is the approximate circumference using the formula C = π × d?

<p>44 cm (A)</p> Signup and view all the answers

What mistake did Chris make when calculating 3 ÷ 3?

<p>He incorrectly added instead of dividing. (D)</p> Signup and view all the answers

How many days will 15 bales of hay last if a horse eats 2/5 of a bale per day?

<p>37.5 days (C)</p> Signup and view all the answers

If the gas tank of a car is 3/4 full and it uses up 4/10 of the gas during a trip, how much gas is left?

<p>1/2 full (B)</p> Signup and view all the answers

What is the correct answer for 3 ÷ 6?

<p>1/2 (D)</p> Signup and view all the answers

If Marsha takes 4 hours to paint the first half of a wall, how long would she take to paint the entire wall?

<p>8 hours (D)</p> Signup and view all the answers

What is the width of a rectangle if its length is 6 cm and the width is 3 of the length?

<p>4 cm (D)</p> Signup and view all the answers

If three fifths of a school class is made up of girls, what fraction of the class are the girls who walk to school if one third of the girls walk?

<p>1/6 (C)</p> Signup and view all the answers

What is the driving distance from Winnipeg to Calgary given that it is 2 3 times the driving distance from Winnipeg to Regina at 570 km?

<p>1140 km (A)</p> Signup and view all the answers

If Vince usually takes 5 2/3 hours to drive from Kamloops to Banff, how many hours did it take him to drive if the drive took 8 4/5 hours that day?

<p>1.5 times as long (A)</p> Signup and view all the answers

What is the average mass of a raccoon if the options provided are given as 5 × 5, 5 × 12, and 8 × ? What could the missing term represent?

<p>7 (A)</p> Signup and view all the answers

If the length of the fence is given as 10ft and requires 2 coats of paint, how long will it take to paint the whole fence with each coat taking 4 hours?

<p>8 hours (D)</p> Signup and view all the answers

Calculate the total number of hours in 3 2/3 days.

<p>72 hours (B)</p> Signup and view all the answers

If a raccoon weighs between 5 × and 5 × 12, how would you express this range as an average value?

<p>Average of 5 and 12 (A)</p> Signup and view all the answers

Flashcards

Proper Fraction

A fraction where the numerator is smaller than the denominator.

Improper Fraction

A fraction where the numerator is greater than or equal to the denominator.

Mixed Number

A fraction combined with a whole number. It represents a value greater than 1.

Order of Operations

The order in which operations are performed in an expression

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Evaluate

To find the value of an expression by performing calculations according to the order of operations.

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Dividing a Fraction by a Whole Number

Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of the whole number.

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Multiplying Proper Fractions

To determine the product of two fractions, multiply the numerators and the denominators.

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Area Model

A diagram that represents the multiplication of fractions as a visual representation.

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Estimation

To estimate a calculation, find a close value that is easier to compute.

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Multiplying Fractions

The process of multiplying fractions by fractions or by mixed numbers.

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Dividing Fractions

To find the number of times one quantity goes into another quantity.

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Fraction of a Quantity

The fraction of the whole that represents the difference between a given quantity and a reference quantity.

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Real-World Application

Solving word problems that involve fractions and mixed numbers in their context.

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Dividing Mixed Numbers

When dividing mixed numbers, first convert them into improper fractions. Then follow the same steps as dividing fractions by multiplying by the reciprocal.

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Circumference of a Circle

To find the circumference of a circle, multiply the diameter by pi (π). π is approximately equal to 22/7.

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Solving Word Problems with Fractions

To solve a word problem involving fractions, carefully analyze the information provided and identify the operation needed to get the required answer.

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Multiplying Mixed Numbers

Multiplying mixed numbers involves converting them to improper fractions and then multiplying the numerators and denominators.

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Finding a Part of a Whole

To find the part of a whole represented by a fraction, multiply the whole by the fraction.

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Solving Word Problems with Fractions

To solve a word problem involving fractions, read the problem carefully and identify what operation needs to be used. Use the information provided to solve.

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Study Notes

Key Words Matching

  • Match improper fractions, mixed numbers, and proper fractions to their examples.
  • Unscramble letters to form and define the word "CIRCLE OPERA."

Dividing Fractions by Whole Numbers

  • Use manipulatives or diagrams to determine quotients.

Recipes and Fractions

  • Determine the fraction of an ingredient needed for different serving sizes (e.g., an onion in potato salad).
  • Calculate the fraction of days with wet weather versus fog.

Multiplying Fractions and Whole Numbers

  • Find products of fractions and whole numbers using manipulatives or diagrams.
  • Calculate the average mass of a raccoon given the average mass of a porcupine and a relative mass.

Multiplying Proper Fractions

  • Use diagrams to explain why different expressions with fractions have the same value.

Estimation and Calculation

  • Estimate and calculate products of fractions.

Fractions of a Class

  • Determine the fraction of a class that consists of girls who walk to school.

Multiplying Improper Fractions and Mixed Numbers

  • Estimate and calculate products of improper fractions and mixed numbers.

Driving Distances

  • Calculate the driving distance from Winnipeg to Calgary, given the distance to Regina and a comparison factor.
  • Calculate the hours in 3 1/2 days.

Approximating Pi

  • Approximate pi using a fraction to calculate circumference of a circle.

Dividing Fractions and Mixed Numbers

  • Calculate and identify errors when dividing fractions and mixed numbers.

Pasta for Guests

  • Determine if there is enough pasta for guests at a dinner party
    • Use two methods to solve.

Fraction Operations

  • Calculate fractions.

Painting a Fence

  • Calculate how long it takes to paint a garden fence given the time to paint a portion.

Driving Time

  • Calculate driving time that is more than usual.

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Related Documents

Chapter 6 Review PDF

Description

Test your understanding of fractions through various operations, including addition, division, and multiplication. This quiz challenges you to match fractions, calculate severing sizes in recipes, and estimate products. Perfect for students looking to strengthen their fraction skills in mathematics.

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