Question

(1/4+7/10)-2/5=?(3/8+7/12)-5/6=?​

Answer 1

Ответ:

1) 19/20-2/5 = 11/20

2) 23/24-5/6=1/8

Пошаговое объяснение:

Answer 2

Let's solve each of these expressions step by step:

1. (1/4 + 7/10) - 2/5:

First, find a common denominator for the fractions in the parentheses. The least common denominator (LCD) for 4 and 10 is 20.

So, rewrite the expression with a common denominator:

(5/20 + 14/20) - 2/5

Now, add the fractions in the parentheses:

(19/20) - 2/5

To subtract these fractions, they need a common denominator, which is 20. So, convert 2/5 to have a denominator of 20:

(19/20) - (8/20)

Now, you can subtract:

(19/20 - 8/20) = 11/20

So, (1/4 + 7/10) - 2/5 = 11/20.

2. (3/8 + 7/12) - 5/6:

First, find a common denominator for the fractions in the parentheses. The least common denominator (LCD) for 8 and 12 is 24.

So, rewrite the expression with a common denominator:

(9/24 + 14/24) - 5/6

Now, add the fractions in the parentheses:

(23/24) - 5/6

To subtract these fractions, they need a common denominator, which is 24. So, convert 5/6 to have a denominator of 24:

(23/24) - (20/24)

Now, you can subtract:

(23/24 - 20/24) = 3/24

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

(3/24) ÷ 3/3 = (1/8) ÷ 1/3 = (1/8) * (3/1) = 3/8

So, (3/8 + 7/12) - 5/6 = 3/8.