Convert problem to expression: Convert the given problem into a mathematical expression. (10/7) ÷ 4.Rewrite division as multiplication: Rewrite the division as multiplication by the reciprocal of the second number. (10/7) × (1/4).Multiply the fractions: Multiply the two fractions. (10/7) × (1/4) = (10×1)/(7×4) = 10/28.Simplify the fraction: Simplify the fraction if possible. 10/28 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. (10/28) ÷ (2/2) = (10÷2)/(28÷2) = 5/14.

Grade 6

Divide fractions and mixed numbers

Full solution

\frac{10}{7} \div 4=

Convert problem to expression: Convert the given problem into a mathematical expression. $\newline$ $(\frac{10}{7}) \div 4$ .
Rewrite division as multiplication: Rewrite the division as multiplication by the reciprocal of the second number. $\newline$ $(\frac{10}{7}) \times (\frac{1}{4})$ .
Multiply the fractions: Multiply the two fractions. $\newline$ $(\frac{10}{7}) \times (\frac{1}{4}) = (\frac{10\times1}{7\times4}) = \frac{10}{28}$ .
Simplify the fraction: Simplify the fraction if possible. $\newline$ $\frac{10}{28}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\left(\frac{10}{28}\right) \div \left(\frac{2}{2}\right) = \left(\frac{10\div2}{28\div2}\right) = \frac{5}{14}$ .