21/154 multiplied by 101/6 in Fraction Form

The result of 21/154 multiplied by 101/6 is: 2 13/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21154 and 1016.

Step 2: Multiply the Numerators

Multiply the numerators: 21 × 101 = 2121

Step 3: Multiply the Denominators

Multiply the denominators: 154 × 6 = 924

Step 4: Simplify the Fraction

We can simplify 2121924 to its lowest form.
The greatest common divisor (GCD) of 2121 and 924 is 21.
Dividing both numerator and denominator by the GCD, we get 10144.

Step 5: Convert to Mixed Number

The fraction 10144 can be written as the mixed number 21344.

Final Answer

The result of 21/154 multiplied by 101/6 is:

21154×1016=21344

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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