Math: Simplifying Fractions to Lowest Terms
Use common factors to write equivalent fractions
Math: Simplifying Fractions to Lowest Terms
Use common factors to write equivalent fractions
Math - Grade 4-5
- 1
Simplify 6/8 to lowest terms.
Find the greatest common factor of 6 and 8.
6/8 simplifies to 3/4 because both 6 and 8 can be divided by 2, and 3 and 4 have no common factor greater than 1. - 2
Simplify 10/15 to lowest terms.
10/15 simplifies to 2/3 because both 10 and 15 can be divided by 5. - 3
Simplify 12/18 to lowest terms.
List factors of 12 and 18, then choose the greatest factor they share.
12/18 simplifies to 2/3 because the greatest common factor of 12 and 18 is 6, and 12 ÷ 6 = 2 while 18 ÷ 6 = 3. - 4
A class has 9 students wearing blue shirts out of 12 students total. Write the fraction of students wearing blue shirts in lowest terms.
The fraction is 9/12, which simplifies to 3/4 because both 9 and 12 can be divided by 3. - 5
Simplify 14/21 to lowest terms.
Think of the 7 times table.
14/21 simplifies to 2/3 because both 14 and 21 can be divided by 7. - 6
Simplify 16/20 to lowest terms.
16/20 simplifies to 4/5 because both 16 and 20 can be divided by 4. - 7
Which fraction is 8/12 in lowest terms: 4/6, 2/3, or 1/2? Explain your choice.
A fraction is in lowest terms when the top and bottom do not share a factor greater than 1.
8/12 in lowest terms is 2/3 because dividing both 8 and 12 by 4 gives 2/3, and 2 and 3 have no common factor greater than 1. - 8
Simplify 18/24 to lowest terms.
18/24 simplifies to 3/4 because the greatest common factor of 18 and 24 is 6. - 9
Simplify 25/30 to lowest terms.
Numbers ending in 0 or 5 are divisible by 5.
25/30 simplifies to 5/6 because both 25 and 30 can be divided by 5. - 10
A garden has 6 tomato plants out of 10 total plants. Write the fraction of tomato plants in lowest terms.
The fraction is 6/10, which simplifies to 3/5 because both 6 and 10 can be divided by 2. - 11
Simplify 27/36 to lowest terms.
Use the greatest common factor of 27 and 36.
27/36 simplifies to 3/4 because both 27 and 36 can be divided by 9. - 12
Is 5/7 already in lowest terms? Explain your answer.
Yes, 5/7 is already in lowest terms because 5 and 7 have no common factor greater than 1. - 13
Simplify 20/28 to lowest terms.
Both numbers are even, but you may be able to divide by a larger common factor than 2.
20/28 simplifies to 5/7 because both 20 and 28 can be divided by 4. - 14
A ribbon is divided into 16 equal sections. 12 sections are colored green. Write the green part of the ribbon as a fraction in lowest terms.
The green part is 12/16, which simplifies to 3/4 because both 12 and 16 can be divided by 4. - 15
Simplify 30/45 to lowest terms and explain the steps you used.
Look for the largest number that divides both 30 and 45 evenly.
30/45 simplifies to 2/3 because the greatest common factor of 30 and 45 is 15, so 30 ÷ 15 = 2 and 45 ÷ 15 = 3.