Question

1) 6/7*(5/10-5/12) 2)-18/15*5/7:4/7

Answer 1

Пошаговое объяснение:

№1

1) 5/10 - 5/12 = 30/60 - 25/60 = 5/60 = 1/12

2) 6/7 * 1/12 = 1/7 * 1/2 = 1/14

№2

1) -18/15 * 5/7 = -18/3 * 1/7 = -18/21 = -6/7

2) -6/7 : 4/7 = -6/7 * 7/4 = -6/4 = -3/2 = -1. 1/2

Answer 2

Let's solve each expression step by step:

1. $\frac{6}{7} \left( \frac{5}{10} - \frac{5}{12} \right)$

First, simplify the fractions inside the parentheses: $\frac{5}{10} = \frac{1}{2}$ and $\frac{5}{12} = \frac{5}{12}$

Now, subtract the fractions inside the parentheses: $\frac{1}{2} - \frac{5}{12} = \frac{6}{12} - \frac{5}{12} = \frac{1}{12}$

So the expression becomes: $\frac{6}{7} \cdot \frac{1}{12}$

Now, multiply the fractions: $\frac{6}{7} \cdot \frac{1}{12} = \frac{6 \cdot 1}{7 \cdot 12} = \frac{6}{84}$

Now, simplify the fraction: $\frac{6}{84} = \frac{1}{14}$

2. $-\frac{18}{15} \cdot \frac{5}{7} : \frac{4}{7}$

First, simplify the fractions: $\frac{18}{15} = \frac{6}{5}$

Now, divide the fractions: $\frac{6}{5} \cdot \frac{5}{7} : \frac{4}{7}$

When you multiply fractions, you multiply the numerators together and the denominators together: $\frac{6 \cdot 5}{5 \cdot 7} : \frac{4}{7}$

Now, divide the fractions. When dividing by a fraction, you can multiply by its reciprocal: $\frac{6 \cdot 5}{5 \cdot 7} \cdot \frac{7}{4}$

Now, simplify the expression by canceling common factors between the numerators and denominators: $\frac{6}{5} \cdot \frac{7}{4} = \frac{6 \cdot 7}{5 \cdot 4} = \frac{42}{20}$

Now, simplify the fraction: $\frac{42}{20} = \frac{21}{10}$

So, the simplified expressions are:

1. $\frac{6}{7} \left( \frac{5}{10} - \frac{5}{12} \right) = \frac{1}{14}$
2. $-\frac{18}{15} \cdot \frac{5}{7} : \frac{4}{7} = \frac{21}{10}$