Question

(5 8/9 : 1 17/36 +1 1/4) * 5/21

Answer 1

$(5 \frac{8}{9} \div 1 \frac{17}{36} + 1 \frac{1}{4} ) \times \frac{5}{21} = 1 \frac{1}{4} \\ ( \frac{53}{9} \times \frac{36}{53} + \frac{5}{4} ) \times \frac{5}{21} = 1 \frac{1}{4}$

Answer 2

To solve this expression, let's break it down step by step:

Step 1: Add the fractions inside the parentheses. 1 17/36 + 1 1/4 = (36 + 17) / 36 + (4 + 1) / 4 = 53 / 36 + 5 / 4

Now, we need a common denominator to add these fractions. The least common multiple of 36 and 4 is 36. So, we'll rewrite the fractions with a common denominator of 36:

= (53 * 1) / 36 + (5 * 9) / 36 = 53 / 36 + 45 / 36

Now we can add the fractions: = (53 + 45) / 36 = 98 / 36

Step 2: Simplify the fraction 98 / 36. The greatest common divisor of 98 and 36 is 2, so we can simplify the fraction: = (98 / 2) / (36 / 2) = 49 / 18

Step 3: Multiply the result from Step 2 by 5/21. (49 / 18) * (5 / 21)

Multiply the numerators together and the denominators together: = (49 * 5) / (18 * 21) = 245 / 378

So, the final result is 245 / 378.