Question

1 4/11:(7/8+7/14)=========

Answer 1

Ответ:

32/121

Пошаговое объяснение:

4/11:(7/8+7/14)= 4/11:(7/8+1/2)= 4/11:(7/8+4/8)= 4/11:11/8= 4/11*8/11= 32/121

Answer 2

Let's break down the expression step by step:

$\frac{7}{8} + \frac{7}{14}$

To add these fractions, we need a common denominator. The least common denominator for 8 and 14 is 56. So, we'll convert both fractions to have a denominator of 56:

$\frac{7 \times 7}{8 \times 7} + \frac{7 \times 4}{14 \times 4}$

Simplifying:

$\frac{49}{56} + \frac{28}{56}$

Now, add the numerators:

$\frac{49 + 28}{56}$

$\frac{77}{56}$

Now, simplify the fraction:

$\frac{77}{56} = \frac{7 \times 11}{7 \times 8}$

Cancel out the common factor of 7:

$\frac{11}{8}$

Now, substitute this result back into the original expression:

$1 - \frac{11}{8}$

To subtract a fraction, we need a common denominator. In this case, it's 8. So:

$\frac{8}{8} - \frac{11}{8}$

Subtract the numerators:

$\frac{8 - 11}{8}$

$\frac{-3}{8}$

Therefore, the expression $1 \frac{4}{11} - \left(\frac{7}{8} + \frac{7}{14}\right)$ simplifies to $-\frac{3}{8}$.