127/10 multiplied by 128/4 in Fraction Form

The result of 127/10 multiplied by 128/4 is: 406 2/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12710 and 1284.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 128 = 16256

Step 3: Multiply the Denominators

Multiply the denominators: 10 × 4 = 40

Step 4: Simplify the Fraction

We can simplify 1625640 to its lowest form.
The greatest common divisor (GCD) of 16256 and 40 is 8.
Dividing both numerator and denominator by the GCD, we get 20325.

Step 5: Convert to Mixed Number

The fraction 20325 can be written as the mixed number 40625.

Final Answer

The result of 127/10 multiplied by 128/4 is:

12710×1284=40625

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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