Question

2 1/2*2 4/5= 1 3/5*7 1/2= 2 2/9*2 19/40= 4 1/6*1 2/5= 1 1/5* 2 11/12= 7 5/9* 1 1/17=

Answer 1

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Answer 2

To solve these multiplication problems involving mixed numbers, we need to convert the mixed numbers to improper fractions, perform the multiplication, and simplify the result if necessary. Let's solve each problem step by step:

1. 2 1/2 * 2 4/5:

First, convert the mixed numbers to improper fractions: 2 1/2 = (2 * 2) + 1/2 = 5/2 2 4/5 = (2 * 5) + 4/5 = 14/5

Now multiply the fractions: (5/2) * (14/5) = (5 * 14) / (2 * 5) = 70/10

Simplify the fraction: 70/10 = 7/1 = 7

Therefore, 2 1/2 * 2 4/5 equals 7.

2. 1 3/5 * 7 1/2:

Convert the mixed numbers to improper fractions: 1 3/5 = (1 * 5) + 3/5 = 8/5 7 1/2 = (7 * 2) + 1/2 = 15/2

Multiply the fractions: (8/5) * (15/2) = (8 * 15) / (5 * 2) = 120/10

Simplify the fraction: 120/10 = 12/1 = 12

Therefore, 1 3/5 * 7 1/2 equals 12.

3. 2 2/9 * 2 19/40:

Convert the mixed numbers to improper fractions: 2 2/9 = (2 * 9) + 2/9 = 20/9 2 19/40 = (2 * 40) + 19/40 = 99/40

Multiply the fractions: (20/9) * (99/40) = (20 * 99) / (9 * 40) = 1980/360

Simplify the fraction: 1980/360 = 11/2

Therefore, 2 2/9 * 2 19/40 equals 11/2.

4. 4 1/6 * 1 2/5:

Convert the mixed numbers to improper fractions: 4 1/6 = (4 * 6) + 1/6 = 25/6 1 2/5 = (1 * 5) + 2/5 = 7/5

Multiply the fractions: (25/6) * (7/5) = (25 * 7) / (6 * 5) = 175/30

Simplify the fraction: 175/30 = 35/6

Therefore, 4 1/6 * 1 2/5 equals 35/6.

5. 1 1/5 * 2 11/12:

Convert the mixed numbers to improper fractions: 1 1/5 = (1 * 5) + 1/5 = 6/5 2 11/12 = (2 * 12) + 11/12 = 35/12

Multiply the fractions: (6/5) * (35/12) = (6 * 35) / (5 * 12) = 210/60

Simplify the fraction: 210/60 = 7/2

Therefore, 1 1/5 * 2 11/12 equals 7/2.

6. 7 5/9 * 1 1/17:

Convert the mixed numbers to improper fractions: 7 5/9 = (7 * 9) + 5/9 = 68/9 1 1/17 = (1 * 17) + 1/17 = 18/17

Multiply the fractions: (68/9) * (18/17) = (68 * 18) / (9 * 17) = 1224/153

Simplify the fraction: 1224/153 = 8/1 = 8

Therefore, 7 5/9 * 1 1/17 equals 8.

To summarize:

1. 2 1/2 * 2 4/5 = 7
2. 1 3/5 * 7 1/2 = 12
3. 2 2/9 * 2 19/40 = 11/2
4. 4 1/6 * 1 2/5 = 35/6
5. 1 1/5 * 2 11/12 = 7/2
6. 7 5/9 * 1 1/17 = 8