Convert to mathematical expression: Convert the given problem into a mathematical expression. The problem asks us to divide 3/8 of a yard of wood into 4 equal parts. This can be written as (3/8) ÷ 4.Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second number. To divide by a whole number, we multiply by its reciprocal. The reciprocal of 4 is 1/4. So, we rewrite the expression as (3/8) × (1/4).Multiply the fractions: Multiply the two fractions. To multiply fractions, we multiply the numerators together and the denominators together. So, we have (3 × 1) for the numerator and (8 × 4) for the denominator. This gives us 3/32.Check the result: Check the result. We have divided 3/8 by 4 and obtained 3/32. To check, we can multiply 3/32 by 4 to see if we get back to 3/8. (3/32) × 4 = 3/8, which confirms our division is correct.

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$\frac{3}{8} \div 4=$

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Grade 6

Divide fractions and mixed numbers

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\frac{3}{8} \div 4=

Convert to mathematical expression: Convert the given problem into a mathematical expression. $\newline$ The problem asks us to divide $\frac{3}{8}$ of a yard of wood into $4$ equal parts. This can be written as $\left(\frac{3}{8}\right) \div 4$ .
Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second number. $\newline$ To divide by a whole number, we multiply by its reciprocal. The reciprocal of $4$ is $1/4$ . So, we rewrite the expression as $(3/8) \times (1/4)$ .
Multiply the fractions: Multiply the two fractions. $\newline$ To multiply fractions, we multiply the numerators together and the denominators together. So, we have $(3 \times 1)$ for the numerator and $(8 \times 4)$ for the denominator. $\newline$ This gives us $\frac{3}{32}$ .
Check the result: Check the result. $\newline$ We have divided $\frac{3}{8}$ by $4$ and obtained $\frac{3}{32}$ . To check, we can multiply $\frac{3}{32}$ by $4$ to see if we get back to $\frac{3}{8}$ . $\newline$ $(\frac{3}{32}) \times 4 = \frac{3}{8}$ , which confirms our division is correct.