Fractions - 5th

Adding Fractions

100

What is 10/21 + 5/21 =

15/21 = 3/7 1. Add straight across the numerator; keep denominator the same 4.Simplify

200

What is 3/5 +2/6 =

18/30 + 10/30 28/30 = 14/15 1.Find common denominators 3.Add straight across the numerator; keep denominator the same 4.Simplify

300

What is 2/7 + 1/2=

4/14 + 7/14 = 11/14 1.Find common denominators 3. Add straight across the numerator; keep denominator the same

400

What is 3 ¼ + 2 2/5=

13/4 + 12/5 = 65/20 + 48/20 = 113/20 = 5 13/20  1.Change mixed numbers to improper fractions 2.Find common denominators 3.Add straight across the numerator; keep denominator the same 4.Simplify

500

Dominique has to read 100 pages by Monday. If she reads 3/5 of the book on Friday and 1/6 of the book on Saturday, what fraction of the book has she read so far?

3/5 + 1/6 18/30 + 5/30 = 23/30 1.Change mixed numbers to improper fractions 2.Find common denominators 3.Add straight across the numerator; keep denominator the same 4.Simplify

Subtracting

100

What is 6/11 – 3/11 ?

= 3/11 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Subtract straight across the numerator; keep denominator the same 4. Simplify

200

What is 2/3 – 1/6 ?

4/6 – 1/6 3/6 = 1/2 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Subtract straight across the numerator; keep denominator the same 4. Simplify

300

What is 3 2/3 – 1 ¼ ?

11/3 – 5/4 44/12 – 15/12 = 29/12 or 2 5/12 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Subtract straight across the numerator; keep denominator the same 4. Simplify

400

What is 4 ½ - 1 4/5 ?

9/2 – 9/5 45/10 – 18/10 = 27/10 or 2 7/10 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Subtract straight across the numerator; keep denominator the same 4. Simplify

500

If Tom has 2/3 of his allowance left after buying a new video game, and then he spends another ¼ of his allowance on a new hat. How much of his allowance is left?

2/3 – ¼ 8/12 – 3/12 = 5/12 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Subtract straight across the numerator; keep denominator the same 4. Simplify

Multiplying

100

What is 1/3 x 6/7 ?

6/21 = 2/7 1. Change mixed numbers to improper fractions 2. Multiply straight across the numerator 3. Multiply straight across the denominator 4. Simplify

200

What is 2/7 x 14/20 ?

1/1 x 1/5, or 28/140 = 1/5 1. Change mixed numbers to improper fractions 2. Multiply straight across the numerator 3. Multiply straight across the denominator 4. Simplify

300

What is 2 ¼ x 1 ¾ ?

9/4 x 7/4 = 63/16 or 3 15/16 1. Change mixed numbers to improper fractions 2. Multiply straight across the numerator 3. Multiply straight across the denominator 4. Simplify

400

What is 4 2/4 x 2 2/3 ?

18/4 x 8/3 9/2 x 8/3 3/1 x 4/1 = 12 1. Change mixed numbers to improper fractions 2. Multiply straight across the numerator 3. Multiply straight across the denominator 4. Simplify

500

Mary has run 3/5 of the race. If the race is 13 miles long, how far has Mary run?

3/5 x 13 3/5 x 13/1 = 39/5 or 7 4/5 1. Change mixed numbers to improper fractions 2. Multiply straight across the numerator 3. Multiply straight across the denominator 4. Simplify

Dividing

100

What is 8 ÷ ½ ?

8 x 2 = 16 1.Change mixed numbers to improper fractions 2.KFC: Keep the first fraction as is. Flip the sign to multiplication. Change the second fraction to its inverse/reciprocal (flip it over!) 3.Multiply straight across the numerator 4.Multiply straight across the denominator 5.Simplify

200

What is 2/3 ÷ ¼ ?

2/3 x 4/1 = 8/3 or 2 2/3 1. Change mixed numbers to improper fractions 2. KFC: Keep the first fraction as is. Flip the sign to multiplication. Change the second fraction to its inverse/reciprocal (flip it over!) 3. Multiply straight across the numerator 4. Multiply straight across the denominator 5. Simplify

300

What is 3 1/3 ÷ 2/5 ?

10/3 ÷ 2/5 10/3 x 5/2 50/6 = 25/3 or 8 1/3 1. Change mixed numbers to improper fractions 2. KFC: Keep the first fraction as is. Flip the sign to multiplication. Change the second fraction to its inverse/reciprocal (flip it over!) 3. Multiply straight across the numerator 4. Multiply straight across the denominator 5. Simplify

400

What is 6 3/7 ÷ 1 2/3 ?

45/7 ÷ 5/3 45/7 x 3/5 9/7 x 3/1 = 27/7 or 3 6/7 1. Change mixed numbers to improper fractions 2. KFC: Keep the first fraction as is. Flip the sign to multiplication. Change the second fraction to its inverse/reciprocal (flip it over!) 3. Multiply straight across the numerator 4. Multiply straight across the denominator 5. Simplify

500

If John has ¾ of a pie leftover and he divides it evenly among himself and two friends, what fraction of the remaining pizza will each person receive?

¾ ÷ 3 ¾ x 1/3 3/12 = 1/4 1. Change mixed numbers to improper fractions 2. KFC: Keep the first fraction as is. Flip the sign to multiplication. Change the second fraction to its inverse/reciprocal (flip it over!) 3. Multiply straight across the numerator 4. Multiply straight across the denominator 5. Simplify

Reciprocals

100

Dominique has to read 100 pages by Monday. If she reads 3/5 of the book on Friday and 1/6 of the book on Saturday, what fraction of the book has she read so far?

3/5 + 1/6 18/30 + 5/30 = 23/30 1.Change mixed numbers to improper fractions 2.Find common denominators 3.Add straight across the numerator; keep denominator the same 4.Simplify

200

What is the reciprocal of 7?

7 7/1 Reciprocal = 1/7 1. Change mixed numbers to improper fractions 2. Perform the inverse/reciprocal (Inverse and reciprocal mean the same thing--to flip the numerator and denominator!)

300

What is the inverse of 4 2/3 ?

4 2/3 14/3 Inverse = 3/14 1. Change mixed numbers to improper fractions 2. Perform the inverse/reciprocal (Inverse and reciprocal mean the same thing--to flip the numerator and denominator!)

400

Solve for n. 6/7 n = 1

6/7 x 7/6 = 1 n = 7/6 or 1 1/6 1. Change mixed numbers to improper fractions 2. Multiply any # by its reciprocal to get a product of

500

Solve for n. 6 4/5 n = 1

34/5 n = 1 34/5 x 5/34 = 1 n = 5/34 1. Change mixed numbers to improper fractions 2. Multiply any # by its reciprocal to get a product of 1.