Question

(5 3/10-3 4/5*13/38)*5/24+2 1/12* 4/15

Answer 1

. . . . . . . . . . . . . . . . . . . . . . .

Answer 2

To simplify the expression:

(5 3/10 - 3 4/5 * 13/38) * 5/24 + 2 1/12 * 4/15

Let's break it down step by step.

1. First, simplify the subtraction in the parentheses: 5 3/10 - 3 4/5

Convert the mixed numbers into improper fractions: 5 3/10 = 53/10 3 4/5 = 19/5

Now, subtract the fractions: 53/10 - 19/5 = (53/10 - 38/10) = 15/10 = 3/2

So, the expression becomes: (3/2 * 13/38) * 5/24 + 2 1/12 * 4/15

2. Next, simplify the multiplication within the parentheses: (3/2 * 13/38) = (3/2 * 13/38)

Now, multiply the fractions: (3/2 * 13/38) = (39/76)

So, the expression becomes: (39/76) * 5/24 + 2 1/12 * 4/15

3. Now, let's multiply the fractions in the first parentheses: (39/76) * 5/24

Multiply the numerators and denominators: (39 * 5) / (76 * 24) = 195 / 1824

4. Finally, simplify the second part of the expression: 2 1/12 * 4/15

Convert the mixed number to an improper fraction: 2 1/12 = 25/12

Now, multiply the fractions: (25/12 * 4/15)

Multiply the numerators and denominators: (25 * 4) / (12 * 15) = 100/180 = 5/9

So, the expression becomes: (195/1824) + (5/9)

To add these two fractions, find a common denominator, which is 1824 * 9 = 16,416.

Now, rewrite the fractions with the common denominator: (195/1824) + (5/9) = (195/1824) + (3056/1824)

Now, add the fractions: (195 + 3056) / 1824 = 3251/1824

This is the simplified result of the expression. If you'd like to simplify it further or convert it to a mixed number, you can do so.