Question

(1/3-5/16)÷(1/6-1/8)

Answer 1

прикрепила))))))))))

Answer 2

Ответ:

Пошаговое объяснение:

1\3-5\16=16\48-15\48=1\48

1\6-1\8=4\24-3\24=1\24

1\48:1\24=1\48*24=1\2

Answer 3

To solve this expression, follow these steps:

Step 1: Simplify the fractions inside the parentheses. (1/3 - 5/16) ÷ (1/6 - 1/8)

First, find a common denominator for each set of fractions inside the parentheses. The common denominator for 3 and 16 is 48, and the common denominator for 6 and 8 is 24.

(16/48 - 15/48) ÷ (4/24 - 3/24)

Now, subtract the fractions inside the parentheses:

(1/48) ÷ (1/24)

Step 2: Divide the fractions. To divide fractions, you can multiply the first fraction by the reciprocal (inverse) of the second fraction.

(1/48) ÷ (1/24) = (1/48) * (24/1)

Now, multiply the fractions:

(1/48) * (24/1) = (1 * 24) / (48 * 1) = 24/48

Step 3: Simplify the result. To simplify the fraction, find the greatest common divisor (GCD) of 24 and 48, which is 24, and divide both the numerator and denominator by 24:

(24/48) ÷ (24/24) = (1/2)

So, the final result of the expression is 1/2.