69/154 multiplied by 69/3 in Fraction Form

The result of 69/154 multiplied by 69/3 is: 10 47/154

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 69154 and 693.

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 69 = 4761

Step 3: Multiply the Denominators

Multiply the denominators: 154 × 3 = 462

Step 4: Simplify the Fraction

We can simplify 4761462 to its lowest form.
The greatest common divisor (GCD) of 4761 and 462 is 3.
Dividing both numerator and denominator by the GCD, we get 1587154.

Step 5: Convert to Mixed Number

The fraction 1587154 can be written as the mixed number 1047154.

Final Answer

The result of 69/154 multiplied by 69/3 is:

69154×693=1047154

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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