Question

1. 4/5 x 3/10

your answer

1. 4/5 x 2/3

your answer

1. 3/4 x 1/3

your answer

1. 7/8 x 1/4

your answer

Explanation:

Problem 1:

Step1: Multiply numerators and denominators

To multiply fractions $\frac{4}{5}$ and $\frac{3}{10}$, we use the rule for multiplying fractions: $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$. So, we multiply the numerators $4$ and $3$, and the denominators $5$ and $10$.
$$\frac{4 \times 3}{5 \times 10} = \frac{12}{50}$$

Step2: Simplify the fraction

We simplify $\frac{12}{50}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$.
$$\frac{12 \div 2}{50 \div 2} = \frac{6}{25}$$

Step1: Multiply numerators and denominators

For $\frac{4}{5} \times \frac{2}{3}$, using the fraction multiplication rule $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$, we multiply the numerators $4$ and $2$, and the denominators $5$ and $3$.
$$\frac{4 \times 2}{5 \times 3} = \frac{8}{15}$$

Step2: Check for simplification

The fraction $\frac{8}{15}$ has no common factors other than $1$ in the numerator and denominator, so it is already in its simplest form.

Step1: Multiply numerators and denominators

To multiply $\frac{3}{4}$ and $\frac{1}{3}$, we apply the fraction multiplication rule: $\frac{3 \times 1}{4 \times 3} = \frac{3}{12}$

Step2: Simplify the fraction

We simplify $\frac{3}{12}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$.
$$\frac{3 \div 3}{12 \div 3} = \frac{1}{4}$$

Answer:

$\frac{6}{25}$

Problem 2: