Math Problem Statement

Divide a fraction by another fraction: 2/5 ÷ 7/3

Solution

The problem is asking to divide two fractions:

25÷73\frac{2}{5} \div \frac{7}{3}

To divide fractions, we multiply the first fraction by the reciprocal (flip) of the second fraction:

25÷73=25×37\frac{2}{5} \div \frac{7}{3} = \frac{2}{5} \times \frac{3}{7}

Now, multiply the numerators and the denominators:

2×35×7=635\frac{2 \times 3}{5 \times 7} = \frac{6}{35}

So the correct answer is:

A.635\boxed{A. \frac{6}{35}}

Would you like more details on how to divide fractions or any other clarifications?

Here are 5 related questions to explore:

  1. How do you simplify a complex fraction?
  2. What is the difference between multiplying and dividing fractions?
  3. Can you divide a whole number by a fraction?
  4. How do you convert a mixed number to an improper fraction for division?
  5. How do you divide fractions with variables?

Tip: When dividing fractions, remember to multiply by the reciprocal of the second fraction!

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Math Problem Analysis

Mathematical Concepts

Fraction Division
Reciprocals
Multiplication of Fractions

Formulas

a/b ÷ c/d = a/b × d/c

Theorems

Multiplying by the Reciprocal

Suitable Grade Level

Grade 6-7