Evaluate. (2)/(7)÷(4)/(9)=

Understand the operation: Understand the operation to be performed. We need to divide the fraction (2/7) by the fraction (4/9). In mathematical terms, this is written as (2/7) ÷ (4/9).Convert division to multiplication: Convert the division of fractions into multiplication. To divide by a fraction, we multiply by its reciprocal. The reciprocal of (4/9) is (9/4). (2/7) ÷ (4/9) = (2/7) × (9/4)Multiply numerators and denominators: Multiply the numerators and denominators. Multiply the numerators: 2 × 9 = 18 Multiply the denominators: 7 × 4 = 28 So, (2/7) × (9/4) = (18/28)Simplify the fraction: Simplify the fraction, if possible. Both the numerator and the denominator are divisible by 2. 18 ÷ 2 = 9 28 ÷ 2 = 14 So, (18/28) simplifies to (9/14).

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

Full solution

Q. Evaluate.

\newline

\frac{2}{7} \div \frac{4}{9}=

Understand the operation: Understand the operation to be performed. $\newline$ We need to divide the fraction $(\frac{2}{7})$ by the fraction $(\frac{4}{9})$ . In mathematical terms, this is written as $(\frac{2}{7}) \div (\frac{4}{9})$ .
Convert division to multiplication: Convert the division of fractions into multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{4}{9})$ is $(\frac{9}{4})$ . $\newline$ $(\frac{2}{7}) \div (\frac{4}{9}) = (\frac{2}{7}) \times (\frac{9}{4})$
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Multiply the numerators: $2 \times 9 = 18$ $\newline$ Multiply the denominators: $7 \times 4 = 28$ $\newline$ So, $(2/7) \times (9/4) = (18/28)$
Simplify the fraction: Simplify the fraction, if possible. $\newline$ Both the numerator and the denominator are divisible by $2$ . $\newline$ $18 \div 2 = 9$ $\newline$ $28 \div 2 = 14$ $\newline$ So, $(\frac{18}{28})$ simplifies to $(\frac{9}{14})$ .