Question

52 13/24-(5 3/40-2 8/15)=

Answer 1

52 13/24-(5 3/40-2 8/15)=50
1)5 3/40-2 8/15=2 65/120=2 13/24
2)52 13/24-2 13/24=50

Answer 2

To solve the expression:

52 13/24 - (5 3/40 - 2 8/15)

First, convert all mixed numbers to improper fractions:

52 13/24 = (24 * 52 + 13) / 24 = 1285/24

5 3/40 = (40 * 5 + 3) / 40 = 203/40

2 8/15 = (15 * 2 + 8) / 15 = 38/15

Now, rewrite the expression with the improper fractions:

1285/24 - (203/40 - 38/15)

Now, find a common denominator for the fractions inside the parentheses, which is 120, because it's the least common multiple of 24, 40, and 15:

1285/24 - [(203/40) * (3/3) - (38/15) * (8/8)] 1285/24 - [(609/120) - (304/120)]

Now, subtract the fractions inside the parentheses:

1285/24 - (609/120 - 304/120)

1285/24 - (305/120)

Now, subtract the fractions:

To subtract, we need a common denominator, which is 24 * 5 = 120:

(1285/24 * 5) - (305/120 * 5)

(6425/24) - (1525/120)

Now, find a common denominator for the subtraction:

(6425/24) - (1525/120) = (6425/24) - (1525/24)

Now, you can subtract the fractions:

(6425/24) - (1525/24) = (6425 - 1525) / 24 = 4900/24

Now, simplify the fraction:

4900/24 = 2450/12 = 204.16666666666666 (rounded to 2 decimal places)

So, the result of the expression is approximately 204.17.