Adding Fractions with the Same Denominator Quiz

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Questions and Answers

Which type of fractions are being discussed in the text?

  • Improper fractions
  • Mixed fractions
  • Equivalent fractions
  • Proper fractions (correct)

What is the first step in adding numbers and a fraction?

  • Convert the number into a fraction (correct)
  • Multiply the numerators
  • Find the least common multiple
  • Add the numerators

What is the least common multiple of 1 and any number?

  • 0
  • 1
  • 2
  • The number itself (correct)

What are two numbers called if their greatest common divisor is 1?

<p>Prime numbers (C)</p> Signup and view all the answers

What is the next step after finding the common denominator in adding fractions with co-prime denominators?

<p>Multiply the denominators (C)</p> Signup and view all the answers

Which fraction is equal to the shaded figure?

<p>3/5 (A)</p> Signup and view all the answers

What is the missing value in the equation: 1/2 of 36 = ?

<p>18 (A)</p> Signup and view all the answers

Which fractions are like fractions?

<p>7/3, 3/4 (A)</p> Signup and view all the answers

Which fractions are proper fractions?

<p>7/9, 7/12 (D)</p> Signup and view all the answers

What is the mixed fraction equivalent to 9/4?

<p>3 1/4 (C)</p> Signup and view all the answers

Flashcards

Proper fractions

Fractions where the numerator is smaller than the denominator. Example: 2/5, 1/3.

Adding numbers and fractions

Convert the whole number into a fraction with the same denominator as the existing fraction.

Least common multiple (LCM)

The smallest number that is a multiple of both given numbers.

Prime numbers

Two numbers whose only common factor is 1. Example: 3 and 5.

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Adding fractions with co-prime denominators

Multiply the denominators of the fractions together. Then, multiply each numerator with the other fraction's denominator.

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Representing a shaded figure

A fraction that represents the portion of a shape that is shaded.

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Finding a fraction of a number

Multiply the fraction by the given number.

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Like fractions

Fractions with the same denominator. Example: 2/5 and 3/5.

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Improper fractions

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

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Mixed fraction

Representing an improper fraction as a whole number and a fraction.

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Study Notes

Types of Fractions

  • Common fractions include proper fractions, improper fractions, and mixed numbers.
  • Proper fractions have numerators smaller than their denominators, while improper fractions have larger numerators.

Adding Numbers and Fractions

  • The first step in adding numbers and fractions is to convert the whole number into a fraction with a common denominator.

Least Common Multiple

  • The least common multiple (LCM) of 1 and any number is the number itself, as any number is a multiple of one.

Co-prime Numbers

  • Two numbers are called co-prime if their greatest common divisor (GCD) is 1, meaning they share no common factors other than 1.

Adding Fractions with Co-prime Denominators

  • After finding the common denominator, the next step in adding fractions is to adjust the numerators accordingly and then sum them.

Shaded Figure Representation

  • The fraction that represents the shaded figure depends on the total parts of the figure and the number of shaded parts.

Missing Value Equation

  • The missing value in the equation 1/2 of 36 is 18.

Like Fractions

  • Like fractions have the same denominator, making them easier to add and subtract.

Proper Fractions

  • Proper fractions are those where the numerator is less than the denominator.

Mixed Fraction Equivalent

  • The mixed fraction equivalent to 9/4 is 2 1/4, as it includes 2 whole parts and 1/4 of another part.

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