213/32 multiplied by 7/4 in Fraction Form

The result of 213/32 multiplied by 7/4 is: 11 83/128

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21332 and 74.

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 7 = 1491

Step 3: Multiply the Denominators

Multiply the denominators: 32 × 4 = 128

Step 4: Convert to Mixed Number

The fraction 1491128 can be written as the mixed number 1183128.

Final Answer

The result of 213/32 multiplied by 7/4 is:

21332×74=1183128

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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