31/102 multiplied by 154/4 in Fraction Form

The result of 31/102 multiplied by 154/4 is: 11 143/204

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 31102 and 1544.

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 154 = 4774

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 4 = 408

Step 4: Simplify the Fraction

We can simplify 4774408 to its lowest form.
The greatest common divisor (GCD) of 4774 and 408 is 2.
Dividing both numerator and denominator by the GCD, we get 2387204.

Step 5: Convert to Mixed Number

The fraction 2387204 can be written as the mixed number 11143204.

Final Answer

The result of 31/102 multiplied by 154/4 is:

31102×1544=11143204

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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