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(10)/(7)÷4=

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

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Divide fractions and mixed numbers

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Q.

\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 $2$ . $\newline$ $\left(\frac{10}{28}\right) \div \left(\frac{2}{2}\right) = \left(\frac{10\div2}{28\div2}\right) = \frac{5}{14}$ .

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\quad = \quad

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