26/53 multiplied by 233/4 in Fraction Form

The result of 26/53 multiplied by 233/4 is: 28 61/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2653 and 2334.

Step 2: Multiply the Numerators

Multiply the numerators: 26 × 233 = 6058

Step 3: Multiply the Denominators

Multiply the denominators: 53 × 4 = 212

Step 4: Simplify the Fraction

We can simplify 6058212 to its lowest form.
The greatest common divisor (GCD) of 6058 and 212 is 2.
Dividing both numerator and denominator by the GCD, we get 3029106.

Step 5: Convert to Mixed Number

The fraction 3029106 can be written as the mixed number 2861106.

Final Answer

The result of 26/53 multiplied by 233/4 is:

2653×2334=2861106

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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