Question

-18 3/4:(-3)=; 13 4/5:(-6)=;​

Answer 1

Ответ:

6 1/4 = 6,25

-2 3/10 = -2,3

Пошаговое объяснение:

18 3/4 = 75/4

-75/4 ÷ (-3) = 75/4 ÷ 3 = 75/4 × 1/3 = (75)/(4×3) = (25×3)/(4×3) = 25/4 = 6 1/4

13 4/5 = 69/5

69/5 ÷ (-6) = - (69/5 × 1/6) = -((69)/(5×6)) = -((23×3)/(5×3×2)) = - (23/10) = -2 3/10

Answer 2

To solve these division problems, you can follow these steps:

1. Convert mixed numbers to improper fractions.
2. Divide the first fraction by the second fraction.

Let's solve each problem:

1. $-18 \frac{3}{4} : (-3)$

First, convert $-18 \frac{3}{4}$ to an improper fraction:

$-18 \frac{3}{4} = -18 + \frac{3}{4} = -\frac{72}{4} + \frac{3}{4} = -\frac{69}{4}$

Now, divide the improper fraction by $-3$:

$-\frac{69}{4} : (-3) = \frac{-69}{4} \div (-3) = \frac{-69}{4} \times \frac{-1}{3} = \frac{69}{12} = 5 \frac{9}{12} = 5 \frac{3}{4}$

So, $-18 \frac{3}{4} : (-3) = 5 \frac{3}{4}$.

2. $13 \frac{4}{5} : (-6)$

First, convert $13 \frac{4}{5}$ to an improper fraction:

$13 \frac{4}{5} = 13 + \frac{4}{5} = \frac{65}{5} + \frac{4}{5} = \frac{69}{5}$

Now, divide the improper fraction by $-6$:

$\frac{69}{5} : (-6) = \frac{69}{5} \div (-6) = \frac{69}{5} \times \frac{-1}{6} = \frac{-69}{30} = -2 \frac{9}{30} = -2 \frac{3}{10}$

So, $13 \frac{4}{5} : (-6) = -2 \frac{3}{10}$.

Therefore, the solutions are:

• $-18 \frac{3}{4} : (-3) = 5 \frac{3}{4}$
• $13 \frac{4}{5} : (-6) = -2 \frac{3}{10}$