Practice identifying, creating, and explaining equivalent fractions using multiplication, division, and visual models.
Read each problem carefully. Show your work in the space provided. Write fractions in simplest form when asked.
Finding and explaining fractions with the same value
Math - Grade 6-8
- 1
Write three fractions that are equivalent to 2/5.
- 2
Are 3/4 and 9/12 equivalent fractions? Explain how you know.
- 3
Fill in the missing number: 5/6 = 25/□.
- 4
Simplify 18/24 to an equivalent fraction in lowest terms.
- 5
Which fraction is equivalent to 7/9: 14/27, 21/27, or 28/45? Explain your choice.
- 6
A rectangle is divided into 8 equal parts, and 6 parts are shaded. Write the shaded part as a fraction, then write the fraction in simplest form.
- 7
Fill in the missing number: 4/7 = □/35.
- 8
Explain why multiplying the numerator and denominator of a fraction by the same nonzero number creates an equivalent fraction.
- 9
Use cross products to decide whether 8/10 and 12/15 are equivalent. Show your work.
- 10
A number line shows 0, 1/2, and 1. Name two fractions with denominators greater than 2 that are located at the same point as 1/2.
- 11
Simplify 45/60 to an equivalent fraction in lowest terms.
- 12
Find the missing number: □/18 = 2/3.
- 13
Two students are comparing 10/16 and 5/8. One student says they are equivalent. Is the student correct? Explain.
- 14
A circle is divided into 12 equal slices, and 9 slices are shaded. Write an equivalent fraction with a denominator of 4.
- 15
Create an equivalent fraction for 6/11 with a denominator of 55, then explain your process.