Questions: 37/28 ÷ 5/3

Solution Steps

To solve the division of two fractions, we multiply the first fraction by the reciprocal of the second fraction. This means we flip the numerator and the denominator of the second fraction and then multiply the numerators together and the denominators together.

We need to divide two fractions: \(\frac{37}{28}\) and \(\frac{5}{3}\).

To divide by a fraction, we multiply by its reciprocal. Therefore, we convert the division \(\frac{37}{28} \div \frac{5}{3}\) into multiplication: \[ \frac{37}{28} \times \frac{3}{5} \]

Multiply the numerators and the denominators: \[ \frac{37 \times 3}{28 \times 5} = \frac{111}{140} \]

The fraction \(\frac{111}{140}\) is already in its simplest form, as 111 and 140 have no common factors other than 1.

Final Answer