20/139 multiplied by 64/4 in Fraction Form

The result of 20/139 multiplied by 64/4 is: 2 42/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20139 and 644.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 64 = 1280

Step 3: Multiply the Denominators

Multiply the denominators: 139 × 4 = 556

Step 4: Simplify the Fraction

We can simplify 1280556 to its lowest form.
The greatest common divisor (GCD) of 1280 and 556 is 4.
Dividing both numerator and denominator by the GCD, we get 320139.

Step 5: Convert to Mixed Number

The fraction 320139 can be written as the mixed number 242139.

Final Answer

The result of 20/139 multiplied by 64/4 is:

20139×644=242139

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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