59/42 multiplied by 213/2 in Fraction Form

The result of 59/42 multiplied by 213/2 is: 149 17/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 5942 and 2132.

Step 2: Multiply the Numerators

Multiply the numerators: 59 × 213 = 12567

Step 3: Multiply the Denominators

Multiply the denominators: 42 × 2 = 84

Step 4: Simplify the Fraction

We can simplify 1256784 to its lowest form.
The greatest common divisor (GCD) of 12567 and 84 is 3.
Dividing both numerator and denominator by the GCD, we get 418928.

Step 5: Convert to Mixed Number

The fraction 418928 can be written as the mixed number 1491728.

Final Answer

The result of 59/42 multiplied by 213/2 is:

5942×2132=1491728

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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