Equivalent Fractions
Equivalent Yes or No? Why?
3/6 6/12
Yes, multiply numerator AND denominator by two.
14/10 is an ugly number because the numerator is greater than the denominator. Change it to a mixed number.
10 divided by 14 is: 1 whole and 4/10
Convert 1 4/6 to an improper fraction
6 x 1 is 6. 6+4=10. 10/6 is the answer.
12/10 10/12
<,>, or =
12/10 because this is greater than a whole.
Should you plot this fraction before the 1/2 or after the 1/2?
3/8
Before the half because half of 8 is 4 and 3 is less than 4.
Equivalent Yes or No? Why?
5/8 15/24
Yes, multiply both numerator and denominator by three.
7/4 is an ugly number. Change it to a mixed number.
4 divided by 7 is 1 whole and 3/7
Convert 1 1/4 to an improper fraction
4 x 1= 4. 4+1=5. 5/4 is the answer.
9/8 11/12
<,>, or =
9/8 > 11/12 because 9/8 is greater than one whole.
Should you plot this fraction before the whole or after the whole?
9/6
After the whole because there are six lines and 9 would be greater than 6/6 (1 whole.)
Equivalent Yes or No? Why?
2/4 6/8
No because the numerator is multiplied by three and the denominator is multiplied by two. The rule MUST be the SAME.
9/5 is an ugly number because the numerator is greater than the denominator. Change to a mixed number.
5 divided by 9 is 1 whole and 4/9
Convert 1 2/5 to an improper fraction.
5x1=5. 5+2=7. 7/5 is the answer.
5/6 3/2
<,>, or =
5/6 < 3/2 because 3/2 is greater than a whole.
Should you plot this fraction before the half or after the half?
5/10
AT the half.
Identify the rule and complete the fraction:
6/? 3/5
? is 10. The rule is divide by two. The ONLY rules that will apply to equivalent fractions are multiplication or division.
If my fraction is 4/2 what will my whole number be?
2
Why is using a mixed number beneficial?
It allows you to easily locate and plot on a number line.
1 2/5 13/6
<,>, or =
1 2/5 < 13/6 because when 13/6 is converted to a mixed number it becomes 2 1/6.
Should you plot this fraction before the whole and a half or after the whole and a half?
1 3/4
After the whole and a half because half of 4 is 2. 3 is larger than 2 so more than half.
Generate your own equivalent fraction for 4/6
You can have numerous answers. Just be sure that both numerator and denominator have the same rule (multiplication or division with the same number).
Convert 8/5 to a mixed number. Why is 1 whole and 2/5 NOT the right answer?
1 whole and 3/5 is correct because there is three remaining when you subtract 8-5.
What do mixed numbers and improper fractions have in common?
They are both fractions greater than 1 whole.
1 1/4 9/5
<, >, or =
1 1/4 < 9/5 because when you convert 9/5 to a mixed number it becomes 1 4/5.
Should you plot this fraction before the whole or after the whole?
12/10
After the whole. 10/10 would be one whole.