86/127 multiplied by 101/6 in Fraction Form

The result of 86/127 multiplied by 101/6 is: 11 152/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 86127 and 1016.

Step 2: Multiply the Numerators

Multiply the numerators: 86 × 101 = 8686

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 6 = 762

Step 4: Simplify the Fraction

We can simplify 8686762 to its lowest form.
The greatest common divisor (GCD) of 8686 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 4343381.

Step 5: Convert to Mixed Number

The fraction 4343381 can be written as the mixed number 11152381.

Final Answer

The result of 86/127 multiplied by 101/6 is:

86127×1016=11152381

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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