1. EXAMPLE 2
Identifying Equivalent Fractions
Tell whether the fractions and are equivalent. 3 8 18 48
SOLUTION
Write each fraction in simplest form. 3 8
is in simplest form. 18 48 = = 3 8
The fractions have the same simplest form, so they are equivalent.
ANSWER

2. Writing Equivalent Fractions
EXAMPLE 3
Writing Equivalent Fractions 4 10
Write two fractions that are equivalent to
SOLUTION
Multiply or divide the numerator and denominator by the same nonzero number. 4 10
4 3 = = 12 30
Multiply numerator and denominator by 3. 4 10
4 2 = = 2 5
Divide numerator and denominator by 2,
a common factor of 4 and 10.

3. EXAMPLE 3
Writing Equivalent Fractions 4 10
Write two fractions that are equivalent to
ANSWER
The fractions and are equivalent to 4 10 12 30 2 5

4. GUIDED PRACTICE
for Examples 2 and 3
Tell whether the fractions are equivalent. 4. 1 6 , 4 24
The fractions have the same simplest form, so they are equivalent.
ANSWER

5. GUIDED PRACTICE
for Examples 2 and 3
Tell whether the fractions are equivalent. , 5. 3 7 10 21
The fractions are not equivalent.
ANSWER

6. GUIDED PRACTICE
for Examples 2 and 3
Tell whether the fractions are equivalent. 6. 24 30 4 6 ,
The fractions are not equivalent.
ANSWER

7. GUIDED PRACTICE
for Examples 2 and 3
Tell whether the fractions are equivalent. 7. 15 35 , 3 7
The fractions have the same simplest form, so they are equivalent.
ANSWER

8. GUIDED PRACTICE
for Examples 2 and 3
Write two fractions that are equivalent to the given fraction. 8 16 8.
ANSWER
The fractions and are equivalent to 1 2 4 8 16

9. GUIDED PRACTICE
for Examples 2 and 3
Write two fractions that are equivalent to the given fraction. 9 15 9.
The fractions and are equivalent to
ANSWER 3 5 18 30 9 15

10. GUIDED PRACTICE
for Examples 2 and 3
Write two fractions that are equivalent to the given fraction. 10 12
10.
ANSWER
The fractions and are equivalent to 5 6 15 18 10 12

11. GUIDED PRACTICE
for Examples 2 and 3
Write two fractions that are equivalent to the given fraction. 21 24
11.
ANSWER
The fractions and are equivalent to 7 8 14 16 21 24