31/154 multiplied by 102/4 in Fraction Form

The result of 31/154 multiplied by 102/4 is: 5 41/308

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 31154 and 1024.

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 102 = 3162

Step 3: Multiply the Denominators

Multiply the denominators: 154 × 4 = 616

Step 4: Simplify the Fraction

We can simplify 3162616 to its lowest form.
The greatest common divisor (GCD) of 3162 and 616 is 2.
Dividing both numerator and denominator by the GCD, we get 1581308.

Step 5: Convert to Mixed Number

The fraction 1581308 can be written as the mixed number 541308.

Final Answer

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

31154×1024=541308

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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