Question

1/3÷1/7 1/2÷1/4 2/3÷1/8 4/9÷5/18​

Answer 1

Ответ:

$\frac{1}{3} \div \frac{1}{7} = \frac{1}{3} \times 7 = \frac{7}{3} = 2 \frac{1}{3} \\ \frac{1}{2} \div \frac{1}{4} = \frac{1}{2} \times 4 = 2 \\ \frac{2}{3} \div \frac{1}{8 } = \frac{2}{3} \times 8 = \frac{16}{3} = 5 \frac{1}{3} \\ \frac{4}{9} \div \frac{5}{18} = \frac{4}{9} \times \frac{18}{5} = 4 \times \frac{2}{5} = \frac{8}{5} = 1 \frac{3}{5}$

Answer 2

To divide fractions, you can follow this simple rule:

Dividing one fraction by another is the same as multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, let's solve each of your division problems step by step:

1. (1/3) ÷ (1/7) = (1/3) * (7/1) (Reciprocal of 1/7 is 7/1) = (1 * 7) / (3 * 1) = 7/3

2. (1/2) ÷ (1/4) = (1/2) * (4/1) (Reciprocal of 1/4 is 4/1) = (1 * 4) / (2 * 1) = 4/2 = 2

3. (2/3) ÷ (1/8) = (2/3) * (8/1) (Reciprocal of 1/8 is 8/1) = (2 * 8) / (3 * 1) = 16/3

4. (4/9) ÷ (5/18) = (4/9) * (18/5) (Reciprocal of 5/18 is 18/5) = (4 * 18) / (9 * 5) = 72/45

To simplify the fraction 72/45, you can find the greatest common divisor (GCD) of 72 and 45, which is 9. Divide both the numerator and denominator by 9:

= (72 ÷ 9) / (45 ÷ 9) = 8/5

So, the results are:

1. (1/3) ÷ (1/7) = 7/3
2. (1/2) ÷ (1/4) = 2
3. (2/3) ÷ (1/8) = 16/3
4. (4/9) ÷ (5/18) = 8/5