21/118 multiplied by 146/3 in Fraction Form

The result of 21/118 multiplied by 146/3 is: 8 39/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21118 and 1463.

Step 2: Multiply the Numerators

Multiply the numerators: 21 × 146 = 3066

Step 3: Multiply the Denominators

Multiply the denominators: 118 × 3 = 354

Step 4: Simplify the Fraction

We can simplify 3066354 to its lowest form.
The greatest common divisor (GCD) of 3066 and 354 is 6.
Dividing both numerator and denominator by the GCD, we get 51159.

Step 5: Convert to Mixed Number

The fraction 51159 can be written as the mixed number 83959.

Final Answer

The result of 21/118 multiplied by 146/3 is:

21118×1463=83959

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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