Show:
Adding Fractions
Subtracting
Multiplying
Dividing
Reciprocals
100
What is 10/21 + 5/21 =
15/21 = 3/7 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Add straight across the numerator; keep denominator the same 4. Simplify
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
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
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
100
What is the inverse of 4/5 ?
4/5 Inverse = 5/4 or 1 ¼ 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!)
200
What is 3/5 +2/6 =
18/30 + 10/30 28/30 = 14/15 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 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
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
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
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 2 1/2 + 4 1/3=
5/2 + 13/3 15/6 + 26/6 = 41/6 or 6 5/6 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Add 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
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
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
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
What is 3 ¼ + 2 1/5=
13/4 + 11/5 65/20 + 44/20 = 109/20 or 5 9/20 1. Change mixed numbers to improper fractions 2. Find common denominators 3. Add 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
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
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
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
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
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
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
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
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.