Evaluate. (3)/(8)÷(5)/(9)=

Understand Operation: Understand the operation to be performed. We need to divide the fraction (3/8) by the fraction (5/9). In mathematical terms, this is written as (3/8) ÷ (5/9).Convert to Multiplication: Convert the division of fractions into multiplication. To divide by a fraction, we multiply by its reciprocal. The reciprocal of (5/9) is (9/5). (3/8) ÷ (5/9) = (3/8) × (9/5)Multiply Numerators and Denominators: Multiply the numerators and denominators. Now we multiply the numerators together and the denominators together. Numerator: 3 × 9 = 27 Denominator: 8 × 5 = 40 So, (3/8) × (9/5) = (27/40)Simplify Fraction: Simplify the fraction if possible. Check if the fraction (27/40) can be simplified. Since 27 and 40 have no common factors other than 1, the fraction is already in its simplest form.

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Evaluate. $\newline$ $\frac{3}{8} \div \frac{5}{9}=$

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

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Q. Evaluate.

\newline

\frac{3}{8} \div \frac{5}{9}=

Understand Operation: Understand the operation to be performed. We need to divide the fraction $(\frac{3}{8})$ by the fraction $(\frac{5}{9})$ . In mathematical terms, this is written as $(\frac{3}{8}) \div (\frac{5}{9})$ .
Convert to Multiplication: Convert the division of fractions into multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{5}{9})$ is $(\frac{9}{5})$ . $\newline$ $(\frac{3}{8}) \div (\frac{5}{9}) = (\frac{3}{8}) \times (\frac{9}{5})$
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ Now we multiply the numerators together and the denominators together. $\newline$ Numerator: $3 \times 9 = 27$ $\newline$ Denominator: $8 \times 5 = 40$ $\newline$ So, $(\frac{3}{8}) \times (\frac{9}{5}) = (\frac{27}{40})$
Simplify Fraction: Simplify the fraction if possible. $\newline$ Check if the fraction $(27/40)$ can be simplified. Since $27$ and $40$ have no common factors other than $1$ , the fraction is already in its simplest form.