Question

5/12•2/3/7+5/12•3/4/7

Answer 1

Ответ:

Пошаговое объяснение:

5/12•(2  3/7+3  4/7)=2 1/2

2 3/7+3 4/7=5 7/7 = 6

5/12 •6 = 30/12= 2 6/12 = 2 1/2

Answer 2

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

Step 1: Simplify the fractions within parentheses: 2/3/7 = 2/3 ÷ 7 = 2/21 3/4/7 = 3/4 ÷ 7 = 3/28

Step 2: Multiply 5/12 by the simplified fractions: 5/12 * 2/21 = (5 * 2) / (12 * 21) = 10 / 252 = 5 / 126 5/12 * 3/28 = (5 * 3) / (12 * 28) = 15 / 336 = 5 / 112

Step 3: Add the results: 5/126 + 5/112

To add fractions, we need a common denominator. The least common multiple (LCM) of 126 and 112 is 1008.

Step 4: Convert both fractions to have a denominator of 1008: 5/126 = (5 * 8) / (126 * 8) = 40 / 1008 5/112 = (5 * 9) / (112 * 9) = 45 / 1008

Step 5: Add the fractions: 40/1008 + 45/1008 = (40 + 45) / 1008 = 85 / 1008

Step 6: Simplify the fraction, if possible: To simplify the fraction further, find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD. In this case, both 85 and 1008 are divisible by 17.

85 ÷ 17 = 5 1008 ÷ 17 = 59

The simplified fraction is 5/59.

Therefore, the final answer to the expression is 5/59.