127/18 multiplied by 141/4 in Fraction Form

The result of 127/18 multiplied by 141/4 is: 248 17/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12718 and 1414.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 141 = 17907

Step 3: Multiply the Denominators

Multiply the denominators: 18 × 4 = 72

Step 4: Simplify the Fraction

We can simplify 1790772 to its lowest form.
The greatest common divisor (GCD) of 17907 and 72 is 3.
Dividing both numerator and denominator by the GCD, we get 596924.

Step 5: Convert to Mixed Number

The fraction 596924 can be written as the mixed number 2481724.

Final Answer

The result of 127/18 multiplied by 141/4 is:

12718×1414=2481724

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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