69/8 multiplied by 155/3 in Fraction Form

The result of 69/8 multiplied by 155/3 is: 445 5/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 698 and 1553.

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 155 = 10695

Step 3: Multiply the Denominators

Multiply the denominators: 8 × 3 = 24

Step 4: Simplify the Fraction

We can simplify 1069524 to its lowest form.
The greatest common divisor (GCD) of 10695 and 24 is 3.
Dividing both numerator and denominator by the GCD, we get 35658.

Step 5: Convert to Mixed Number

The fraction 35658 can be written as the mixed number 44558.

Final Answer

The result of 69/8 multiplied by 155/3 is:

698×1553=44558

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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