233/8 multiplied by 26/3 in Fraction Form

The result of 233/8 multiplied by 26/3 is: 252 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2338 and 263.

Step 2: Multiply the Numerators

Multiply the numerators: 233 × 26 = 6058

Step 3: Multiply the Denominators

Multiply the denominators: 8 × 3 = 24

Step 4: Simplify the Fraction

We can simplify 605824 to its lowest form.
The greatest common divisor (GCD) of 6058 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get 302912.

Step 5: Convert to Mixed Number

The fraction 302912 can be written as the mixed number 252512.

Final Answer

The result of 233/8 multiplied by 26/3 is:

2338×263=252512

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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