Evaluate. (3)/(5)÷(1)/(9)=

Understanding Division of Fractions: Understand the operation of division between two fractions. To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.Finding the Reciprocal: Find the reciprocal of the second fraction. The reciprocal of (1)/(9) is (9)/(1), because we swap the numerator and denominator.Multiplying the Fractions: Multiply the first fraction by the reciprocal of the second fraction. Now we perform the multiplication: (3)/(5) * (9)/(1).Performing the Numerical Multiplication: Perform the multiplication of the numerators and denominators. Multiply the numerators: 3 * 9 = 27. Multiply the denominators: 5 * 1 = 5. So, (3)/(5) * (9)/(1) = (27)/(5).Simplifying the Result: Simplify the result, if necessary. The fraction (27)/(5) is already in its simplest form, so no further simplification is needed.

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Evaluate. $\newline$ $\frac{3}{5} \div \frac{1}{9}=$

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

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Q. Evaluate.

\newline

\frac{3}{5} \div \frac{1}{9}=

Understanding Division of Fractions: Understand the operation of division between two fractions. $\newline$ To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Finding the Reciprocal: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{1}{9})$ is $(\frac{9}{1})$ , because we swap the numerator and denominator.
Multiplying the Fractions: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ Now we perform the multiplication: $(\frac{3}{5}) \times (\frac{9}{1})$ .
Performing the Numerical Multiplication: Perform the multiplication of the numerators and denominators. $\newline$ Multiply the numerators: $3 \times 9 = 27$ . $\newline$ Multiply the denominators: $5 \times 1 = 5$ . $\newline$ So, $\left(\frac{3}{5}\right) \times \left(\frac{9}{1}\right) = \frac{27}{5}$ .
Simplifying the Result: Simplify the result, if necessary. $\newline$ The fraction $(27)/(5)$ is already in its simplest form, so no further simplification is needed.