Question

-4 times 7/5 times -3/4 divided by 7/15

Answer 1

To solve the expression \(-4 \times \frac{7}{5} \times -\frac{3}{4} \div \frac{7}{15}\), we can follow these steps:

1. First, multiply the factors in the numerator:
\[
-4 \times \frac{7}{5} \times -\frac{3}{4}
\]
The negative signs will cancel out:
\[
4 \times \frac{7}{5} \times \frac{3}{4}
\]
The \(4\) in the numerator and the \(4\) in the denominator cancel each other out:
\[
= \frac{7 \times 3}{5} = \frac{21}{5}
\]

2. Now, divide by \(\frac{7}{15}\):
\[
\frac{21}{5} \div \frac{7}{15}
\]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
= \frac{21}{5} \times \frac{15}{7}
\]

3. Multiply the numerators and the denominators:
\[
= \frac{21 \times 15}{5 \times 7}
\]

4. Simplify the fraction:
- \(21\) and \(7\) can simplify to \(3\):
\[
\frac{3 \times 15}{5} = \frac{45}{5} = 9
\]

So the final result is:
\[
\boxed{9}
\]