The problem consists of 24 fraction multiplication problems. We need to multiply the fractions and give the answer in simplest form.

1. Problem Description

The problem consists of 24 fraction multiplication problems. We need to multiply the fractions and give the answer in simplest form.

2. Solution Steps

I will solve problems 1 through

8.

Problem 1: $\frac{2}{3} \times \frac{3}{15}$

Multiply the numerators and denominators:

$\frac{2 \times 3}{3 \times 15} = \frac{6}{45}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3:

$\frac{6 \div 3}{45 \div 3} = \frac{2}{15}$

Problem 2: $\frac{5}{8} \times \frac{7}{20}$

Multiply the numerators and denominators:

$\frac{5 \times 7}{8 \times 20} = \frac{35}{160}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 5:

$\frac{35 \div 5}{160 \div 5} = \frac{7}{32}$

Problem 3: $\frac{4}{5} \times \frac{8}{10}$

Multiply the numerators and denominators:

$\frac{4 \times 8}{5 \times 10} = \frac{32}{50}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2:

$\frac{32 \div 2}{50 \div 2} = \frac{16}{25}$

Problem 4: $\frac{10}{30} \times \frac{3}{10}$

Multiply the numerators and denominators:

$\frac{10 \times 3}{30 \times 10} = \frac{30}{300}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 30:

$\frac{30 \div 30}{300 \div 30} = \frac{1}{10}$

Problem 5: $\frac{2}{8} \times \frac{5}{15}$

Multiply the numerators and denominators:

$\frac{2 \times 5}{8 \times 15} = \frac{10}{120}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 10:

$\frac{10 \div 10}{120 \div 10} = \frac{1}{12}$

Problem 6: $\frac{12}{16} \times \frac{6}{20}$

Multiply the numerators and denominators:

$\frac{12 \times 6}{16 \times 20} = \frac{72}{320}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 8:

$\frac{72 \div 8}{320 \div 8} = \frac{9}{40}$

Problem 7: $\frac{30}{40} \times \frac{10}{11}$

Multiply the numerators and denominators:

$\frac{30 \times 10}{40 \times 11} = \frac{300}{440}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 20:

$\frac{300 \div 20}{440 \div 20} = \frac{15}{22}$

Problem 8: $\frac{15}{30} \times \frac{4}{12}$

Multiply the numerators and denominators:

$\frac{15 \times 4}{30 \times 12} = \frac{60}{360}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 60:

$\frac{60 \div 60}{360 \div 60} = \frac{1}{6}$

3. Final Answer

1. $\frac{2}{15}$

2. $\frac{7}{32}$

3. $\frac{16}{25}$

4. $\frac{1}{10}$

5. $\frac{1}{12}$

6. $\frac{9}{40}$

7. $\frac{15}{22}$

8. $\frac{1}{6}$