Understand the division problem: Understand the division problem. We need to divide 3/4 by 12. This can be written as a fraction: (3/4) / 12.Convert the whole number: Convert the whole number into a fraction. 12 can be written as 12/1 to be used in the division.Rewrite the division as multiplication: Rewrite the division as multiplication by the reciprocal. Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 12/1 is 1/12. (3/4) ÷ 12 = (3/4) * (1/12)Multiply the numerators and denominators: Multiply the numerators and denominators. Multiply the numerators: 3 * 1 = 3 Multiply the denominators: 4 * 12 = 48 So, (3/4) * (1/12) = 3/48Simplify the fraction: Simplify the fraction. 3 and 48 have a common factor of 3. Divide both numerator and denominator by 3 to simplify. 3 ÷ 3 = 1 48 ÷ 3 = 16 The simplified fraction is 1/16.

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$\frac{3}{4} \div 12=$

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Math Problems

Grade 6

Divide whole numbers and unit fractions

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\frac{3}{4} \div 12=

Understand the division problem: Understand the division problem. $\newline$ We need to divide $\frac{3}{4}$ by $12$ . This can be written as a fraction: $\left(\frac{3}{4}\right) / 12$ .
Convert the whole number: Convert the whole number into a fraction. $\newline$ $12$ can be written as $\frac{12}{1}$ to be used in the division.
Rewrite the division as multiplication: Rewrite the division as multiplication by the reciprocal. $\newline$ Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of $\frac{12}{1}$ is $\frac{1}{12}$ . $\newline$ $\frac{3}{4} \div 12 = \frac{3}{4} \times \frac{1}{12}$
Multiply the numerators and denominators: Multiply the numerators and denominators. $\newline$ Multiply the numerators: $3 \times 1 = 3$ $\newline$ Multiply the denominators: $4 \times 12 = 48$ $\newline$ So, $(\frac{3}{4}) \times (\frac{1}{12}) = \frac{3}{48}$
Simplify the fraction: Simplify the fraction. $\newline$ $3$ and $48$ have a common factor of $3$ . Divide both numerator and denominator by $3$ to simplify. $\newline$ $3 \div 3 = 1$ $\newline$ $48 \div 3 = 16$ $\newline$ The simplified fraction is $\frac{1}{16}$ .