10/86 multiplied by 213/2 in Fraction Form

The result of 10/86 multiplied by 213/2 is: 12 33/86

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1086 and 2132.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 213 = 2130

Step 3: Multiply the Denominators

Multiply the denominators: 86 × 2 = 172

Step 4: Simplify the Fraction

We can simplify 2130172 to its lowest form.
The greatest common divisor (GCD) of 2130 and 172 is 2.
Dividing both numerator and denominator by the GCD, we get 106586.

Step 5: Convert to Mixed Number

The fraction 106586 can be written as the mixed number 123386.

Final Answer

The result of 10/86 multiplied by 213/2 is:

1086×2132=123386

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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