Question

(1/8+2/9-1/4)×5 1/7÷(7/9-2/3+1/6)=

Answer 1

Пошаговое объяснение:

((( 1 / 8 ) + ( 2 / 9 ) - ( 1 / 9 )) * ( 5 1 / 7 )) / (( 7 / 9) - ( 2 / 3 ) + ( 1 / 6 )) = 1.8

Answer 2

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

First, let's simplify the expression within the parentheses: (1/8 + 2/9 - 1/4)

To add or subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 8, 9, and 4 is 72. So, we'll convert all the fractions to have a denominator of 72:

(1/8) = 9/72 (2/9) = 16/72 (1/4) = 18/72

Now we can add and subtract the fractions:

(9/72 + 16/72 - 18/72) = 7/72

Next, we'll multiply the result by 5 1/7:

To multiply a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same. Then, we add the whole number multiplied by the denominator to the numerator. Finally, we keep the denominator the same.

(7/72) × 5 + 1/7

(7 × 5 + 1)/72 = 36/72

Now, let's simplify the expression on the right side of the equation: (7/9 - 2/3 + 1/6)

To add or subtract fractions, we need a common denominator. The LCM of 9, 3, and 6 is 18. So, we'll convert all the fractions to have a denominator of 18:

(7/9) = 14/18 (2/3) = 12/18 (1/6) = 3/18

Now we can add and subtract the fractions:

(14/18 - 12/18 + 3/18) = 5/18

Finally, we'll divide the result of 36/72 by 5/18:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(36/72) ÷ (5/18) = (36/72) × (18/5)

Now, let's simplify this expression:

(36 × 18)/(72 × 5) = 648/360 = 9/5

Therefore, the value of the given expression is 9/5.