Math: Equivalent Fractions
Finding and comparing fractions with the same value
Math: Equivalent Fractions
Finding and comparing fractions with the same value
Math - Grade 4-5
- 1
Write a fraction that is equivalent to 1/2 by multiplying the numerator and denominator by 2.
Multiply the top number and the bottom number by the same number.
A fraction equivalent to 1/2 is 2/4 because multiplying both 1 and 2 by 2 gives 2/4. - 2
Write a fraction that is equivalent to 3/4 by multiplying the numerator and denominator by 2.
A fraction equivalent to 3/4 is 6/8 because multiplying both 3 and 4 by 2 gives 6/8. - 3
Fill in the blank: 2/3 = __/6
Ask yourself what happened to 3 to make 6.
The missing numerator is 4, so 2/3 = 4/6. Both parts were multiplied by 2. - 4
Fill in the blank: 5/8 = __/16
The missing numerator is 10, so 5/8 = 10/16. Both parts were multiplied by 2. - 5
Are 2/6 and 1/3 equivalent fractions? Explain how you know.
Try simplifying 2/6.
Yes, 2/6 and 1/3 are equivalent fractions because 2/6 can be simplified by dividing the numerator and denominator by 2, which gives 1/3. - 6
Are 3/5 and 6/10 equivalent fractions? Explain how you know.
Yes, 3/5 and 6/10 are equivalent fractions because multiplying the numerator and denominator of 3/5 by 2 gives 6/10. - 7
Circle the fraction that is equivalent to 4/8: 1/2, 2/3, 3/8
Simplify 4/8 to its simplest form.
The fraction equivalent to 4/8 is 1/2 because 4/8 simplifies to 1/2 when both numbers are divided by 4. - 8
Circle all fractions that are equivalent to 2/5: 4/10, 6/15, 8/20, 3/5
The fractions equivalent to 2/5 are 4/10, 6/15, and 8/20 because each one can be simplified to 2/5. The fraction 3/5 is not equivalent. - 9
Complete the pattern: 1/4, 2/8, 3/12, __/16
Look at how both numbers change from one fraction to the next.
The missing fraction is 4/16 because all of the fractions in the pattern are equivalent to 1/4. - 10
A rectangle is divided into 6 equal parts, and 3 parts are shaded. Write the shaded fraction and an equivalent fraction in simplest form.
The shaded fraction is 3/6, and an equivalent fraction in simplest form is 1/2 because both 3 and 6 can be divided by 3. - 11
Fill in the blank: 7/9 = 14/__
The missing denominator is 18, so 7/9 = 14/18. Both parts were multiplied by 2. - 12
Write two different fractions that are equivalent to 2/7.
Use 2 times 2 and 2 times 3 for the numerator.
Two fractions equivalent to 2/7 are 4/14 and 6/21 because each fraction is made by multiplying the numerator and denominator by the same number. - 13
Which fraction is equivalent to 3/6: 1/2, 2/3, or 5/6? Explain your choice.
The fraction equivalent to 3/6 is 1/2 because 3/6 simplifies to 1/2 when both numbers are divided by 3. - 14
Fill in the blank: __/12 = 1/3
Think about what number times 3 equals 12.
The missing numerator is 4, so 4/12 = 1/3. The denominator 3 was multiplied by 4, so the numerator 1 was also multiplied by 4. - 15
Explain why multiplying or dividing the numerator and denominator by the same nonzero number makes an equivalent fraction.
Multiplying or dividing the numerator and denominator by the same nonzero number makes an equivalent fraction because the size of the parts compared with the whole stays the same, even though the numbers look different.