Question

(16/15-13/14)*12/13=?

Answer 1

Ответ:

$\dfrac{58}{455}$

Объяснение:

$\left ( \dfrac{16}{15}- \dfrac{13}{14}\right ) \cdot \dfrac{12}{13}= \left ( \dfrac{16 \cdot 14}{15 \cdot 14}- \dfrac{13 \cdot 15}{14 \cdot 15} \right ) \cdot \dfrac{12}{13}= \dfrac{224-195}{210} \cdot \dfrac{12}{13}=\dfrac{29}{210} \cdot \dfrac{12}{13}=\\\\=\dfrac{29 \cdot 12}{210 \cdot 13}= \dfrac{29 \cdot 2\cdot 6}{6 \cdot 35 \cdot 13}=\dfrac{29 \cdot 2}{35 \cdot 13}=\dfrac{58}{455}.$

Answer 2

Let's break down the calculation step by step:

First, evaluate the fractions:

16/15 - 13/14

To subtract fractions, you need a common denominator. The least common multiple of 15 and 14 is 210.

(16/15) * (14/14) - (13/14) * (15/15) (224/210) - (195/210) (224 - 195) / 210 29 / 210

Next, multiply the result by 12/13:

(29/210) * (12/13)

Multiply the numerators and denominators separately:

(29 * 12) / (210 * 13) 348 / 2730

Now, simplify the fraction:

348 / 2730 = 58 / 455

So, (16/15 - 13/14) * 12/13 = 58/455.