Math Problem Statement

1 3/7 divided by 1 1/4

Solution

To divide two mixed numbers like 1371 \frac{3}{7} by 1141 \frac{1}{4}, follow these steps:

Step 1: Convert both mixed numbers to improper fractions.

137=7×1+37=1071 \frac{3}{7} = \frac{7 \times 1 + 3}{7} = \frac{10}{7} 114=4×1+14=541 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{5}{4}

Step 2: Perform the division by multiplying the first fraction by the reciprocal of the second.

107÷54=107×45=10×47×5=4035\frac{10}{7} \div \frac{5}{4} = \frac{10}{7} \times \frac{4}{5} = \frac{10 \times 4}{7 \times 5} = \frac{40}{35}

Step 3: Simplify the resulting fraction.

4035=87\frac{40}{35} = \frac{8}{7}

So, 137÷114=871 \frac{3}{7} \div 1 \frac{1}{4} = \frac{8}{7}, or 1171 \frac{1}{7} as a mixed number.

Would you like further details or clarification?

Here are five related questions to explore this further:

  1. How do you multiply fractions with different denominators?
  2. How do you add mixed numbers?
  3. Can you convert improper fractions back to mixed numbers?
  4. How do you simplify fractions?
  5. How does the reciprocal of a fraction work in division?

Tip: Always simplify fractions to their lowest terms to get the most reduced answer.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Mixed Numbers
Division of Fractions
Improper Fractions
Reciprocal

Formulas

Convert mixed number to improper fraction: a b/c = (a*c + b)/c
Division of fractions: (a/b) ÷ (c/d) = (a/b) × (d/c)

Theorems

Reciprocal in division of fractions

Suitable Grade Level

Grades 6-8