Evaluate. (5)/(4)÷(3)/(5)=

Problem Understanding: Understand the problem. We need to divide the fraction (5/4) by another fraction (3/5). In mathematical terms, this is written as (5/4) ÷ (3/5).Dividing Fractions: Recall how to divide fractions. To divide by a fraction, you multiply by its reciprocal. The reciprocal of (3/5) is (5/3).Setting up the Multiplication: Set up the multiplication. Now we rewrite the division as a multiplication: (5/4) × (5/3).Multiplying the Numerators: Multiply the numerators. Multiply the numerators (top numbers) of the fractions: 5 × 5 = 25.Multiplying the Denominators: Multiply the denominators. Multiply the denominators (bottom numbers) of the fractions: 4 × 3 = 12.Writing the Result as a Fraction: Write the result as a fraction. The result of the multiplication is the fraction (25/12).Simplifying the Fraction: Simplify the fraction if necessary. The fraction (25/12) is already in its simplest form, so no further simplification is needed.

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Evaluate. $\newline$ $\frac{5}{4} \div \frac{3}{5}=$

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Algebra 2

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Q. Evaluate.

\newline

\frac{5}{4} \div \frac{3}{5}=

Problem Understanding: Understand the problem. $\newline$ We need to divide the fraction $(\frac{5}{4})$ by another fraction $(\frac{3}{5})$ . In mathematical terms, this is written as $(\frac{5}{4}) \div (\frac{3}{5})$ .
Dividing Fractions: Recall how to divide fractions. $\newline$ To divide by a fraction, you multiply by its reciprocal. The reciprocal of $(\frac{3}{5})$ is $(\frac{5}{3})$ .
Setting up the Multiplication: Set up the multiplication. $\newline$ Now we rewrite the division as a multiplication: $(\frac{5}{4}) \times (\frac{5}{3})$ .
Multiplying the Numerators: Multiply the numerators. $\newline$ Multiply the numerators (top numbers) of the fractions: $5 \times 5 = 25$ .
Multiplying the Denominators: Multiply the denominators. $\newline$ Multiply the denominators (bottom numbers) of the fractions: $4 \times 3 = 12$ .
Writing the Result as a Fraction: Write the result as a fraction. $\newline$ The result of the multiplication is the fraction $(\frac{25}{12})$ .
Simplifying the Fraction: Simplify the fraction if necessary. $\newline$ The fraction $(\frac{25}{12})$ is already in its simplest form, so no further simplification is needed.