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Evaluate.

(1)/(3)÷(1)/(4)=

Evaluate. $\newline$ $\frac{1}{3} \div \frac{1}{4}=$

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Multiply and divide rational numbers

Full solution

Q. Evaluate.

\newline

\frac{1}{3} \div \frac{1}{4}=

Understanding Division by a Fraction: Understand that dividing by a fraction is the same as multiplying by its reciprocal. $\newline$ To divide by $(\frac{1}{4})$ , we multiply by the reciprocal of $(\frac{1}{4})$ , which is $(\frac{4}{1})$ .
Multiplying the Numerators: Multiply the numerators. $\newline$ Evaluate $1 \times 4$ . $\newline$ Multiply $1$ and $4$ . $\newline$ $1 \times 4 = 4$
Multiplying the Denominators: Multiply the denominators. $\newline$ Evaluate $3 \times 1$ . $\newline$ Multiply $3$ and $1$ . $\newline$ $3 \times 1 = 3$
Writing the Result in Simplest Form: Write the result in simplest form. $\newline$ We have $4$ as the numerator and $3$ as the denominator. $\newline$ So, $(\frac{1}{3}) \div (\frac{1}{4}) = \frac{4}{3}$

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