Divide: (3)/(4)÷(3)/(7)=

Write Problem: Write down the problem. We have the division of two fractions: (3/4) ÷ (3/7).Convert to Multiplication: Convert the division of fractions into multiplication. To divide by a fraction, we multiply by its reciprocal. The reciprocal of (3/7) is (7/3). So, (3/4) ÷ (3/7) becomes (3/4) * (7/3).Multiply Numerators: Multiply the numerators. Multiply the numerators of the fractions: 3 * 7 = 21.Multiply Denominators: Multiply the denominators. Multiply the denominators of the fractions: 4 * 3 = 12.Write as Fraction: Write the result as a fraction. Combine the results of steps 3 and 4 to form a new fraction: 21/12.Simplify Fraction: Simplify the fraction. The fraction 21/12 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 21 ÷ 3 = 7 and 12 ÷ 3 = 4. So, 21/12 simplifies to 7/4.

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Divide: $\newline$ $\frac{3}{4}\div\frac{3}{7}=$

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Math Problems

Algebra 1

Multiplication with rational exponents

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Q. Divide:

\newline

\frac{3}{4}\div\frac{3}{7}=

Write Problem: Write down the problem. $\newline$ We have the division of two fractions: $(\frac{3}{4}) \div (\frac{3}{7})$ .
Convert to Multiplication: Convert the division of fractions into multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{3}{7})$ is $(\frac{7}{3})$ . $\newline$ So, $(\frac{3}{4}) \div (\frac{3}{7})$ becomes $(\frac{3}{4}) \times (\frac{7}{3})$ .
Multiply Numerators: Multiply the numerators. $\newline$ Multiply the numerators of the fractions: $3 \times 7 = 21$ .
Multiply Denominators: Multiply the denominators. $\newline$ Multiply the denominators of the fractions: $4 \times 3 = 12$ .
Write as Fraction: Write the result as a fraction. $\newline$ Combine the results of steps $3$ and $4$ to form a new fraction: $\frac{21}{12}$ .
Simplify Fraction: Simplify the fraction. $\newline$ The fraction $\frac{21}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $21 \div 3 = 7$ and $12 \div 3 = 4$ . $\newline$ So, $\frac{21}{12}$ simplifies to $\frac{7}{4}$ .