118/3 multiplied by 26/2 in Fraction Form

The result of 118/3 multiplied by 26/2 is: 511 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1183 and 262.

Step 2: Multiply the Numerators

Multiply the numerators: 118 × 26 = 3068

Step 3: Multiply the Denominators

Multiply the denominators: 3 × 2 = 6

Step 4: Simplify the Fraction

We can simplify 30686 to its lowest form.
The greatest common divisor (GCD) of 3068 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get 15343.

Step 5: Convert to Mixed Number

The fraction 15343 can be written as the mixed number 51113.

Final Answer

The result of 118/3 multiplied by 26/2 is:

1183×262=51113

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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