10/233 multiplied by 76/2 in Fraction Form

The result of 10/233 multiplied by 76/2 is: 1 147/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 10233 and 762.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 76 = 760

Step 3: Multiply the Denominators

Multiply the denominators: 233 × 2 = 466

Step 4: Simplify the Fraction

We can simplify 760466 to its lowest form.
The greatest common divisor (GCD) of 760 and 466 is 2.
Dividing both numerator and denominator by the GCD, we get 380233.

Step 5: Convert to Mixed Number

The fraction 380233 can be written as the mixed number 1147233.

Final Answer

The result of 10/233 multiplied by 76/2 is:

10233×762=1147233

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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