Fraction Operations and Problem Solving

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Questions and Answers

What is the smallest common denominator of $\frac{3}{4}$ and $\frac{2}{5}$?

  • 20 (correct)
  • 12
  • 10
  • 40

Solve: $\frac{7}{8} - \frac{1}{2} = $ ?

  • $\frac{8}{10}$
  • $\frac{3}{8}$ (correct)
  • $\frac{6}{6}$
  • $\frac{6}{8}$

Which of the following expressions is equivalent to $\frac{2}{5} + \frac{1}{4}$?

  • $\frac{3}{9}$
  • $\frac{13}{20}$ (correct)
  • $\frac{3}{5}$
  • $\frac{3}{20}$

Evaluate: $\frac{5}{6} + \frac{2}{3} = $ ?

<p>$\frac{9}{6}$ (B)</p> Signup and view all the answers

Determine the result of: $\frac{7}{10} - \frac{2}{5} = $ ?

<p>$\frac{3}{10}$ (C)</p> Signup and view all the answers

If $\frac{3}{5} = \frac{k}{15}$, then what is the value of k?

<p>9 (C)</p> Signup and view all the answers

Two fractions with the same denominator are known as what kind of fractions?

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

Calculate: $\frac{3}{7} - \frac{3}{7} = $ ?

<p>$\frac{0}{7}$ (D)</p> Signup and view all the answers

Which of the following is equivalent to the mixed number $2\frac{3}{5}$?

<p>$\frac{13}{5}$ (B)</p> Signup and view all the answers

Express the improper fraction $\frac{17}{3}$ as a mixed number.

<p>$5\frac{2}{3}$ (B)</p> Signup and view all the answers

Flashcards

Least Common Denominator (LCD)

The smallest common multiple of the denominators of two or more fractions.

Like fractions

Fractions that have the same denominator.

Regrouping Fractions

Converting an improper fraction into a whole number and a proper fraction.

Improper Fraction

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

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Mixed Number

A number consisting of a whole number and a fraction.

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Proper Fraction

A fraction where the numerator is smaller than the denominator.

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Equivalent Fractions

Fractions with the same value, even though they may look different.

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Simplifying Fractions

To reduce a fraction to its simplest form by dividing both the numerator and denominator by their greatest common factor.

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What is a Fraction?

A fraction representing part of a whole.

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Study Notes

  • and are equivalent.
  • The smallest like denominator of and is 20.
  • =
  • =
  • =
  • =
  • =
  • =
  • =
  • If: , then K = 11
  • Two fractions: , with like denominators are
  • = 0
  • is equivalent to
  • can be regrouped as 4
  • is equivalent to
  • = 1
  • = (as an improper fraction)
  • can be regrouped as 64
  • The LCM of the denominators of and is 14
  • If: , then k = 10
  • =
  • =

Essay Problems

  • To find how many kilograms of fava beans Omnia had left, subtract the amount she used from the amount she purchased.
  • To find how many kilometers of the 10 km road aren't paved, subtract the paved length from the total length.
  • To determine if Abeer has enough juice mixture, add the fruit juice concentrate and water, then compare the sum to 12 liters.
  • To find the total money Ali paid, add the cost of the book and the pen.
  • To find the distance Ali ran, add the distance Ahmed ran and the additional distance Ali ran.
  • 5 3/4 years = 5 years and 9 months
  • 5 minutes and 40 seconds = minutes
  • 1 – = 5/7
  • To find the total distance Ahmed walked in two days, add the distance he walked on the first day and the distance he walked on the second day.

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