110/112 multiplied by 127/4 in Fraction Form

The result of 110/112 multiplied by 127/4 is: 31 41/224

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 110112 and 1274.

Step 2: Multiply the Numerators

Multiply the numerators: 110 × 127 = 13970

Step 3: Multiply the Denominators

Multiply the denominators: 112 × 4 = 448

Step 4: Simplify the Fraction

We can simplify 13970448 to its lowest form.
The greatest common divisor (GCD) of 13970 and 448 is 2.
Dividing both numerator and denominator by the GCD, we get 6985224.

Step 5: Convert to Mixed Number

The fraction 6985224 can be written as the mixed number 3141224.

Final Answer

The result of 110/112 multiplied by 127/4 is:

110112×1274=3141224

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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