78/40 multiplied by 127/4 in Fraction Form

The result of 78/40 multiplied by 127/4 is: 61 73/80

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 7840 and 1274.

Step 2: Multiply the Numerators

Multiply the numerators: 78 × 127 = 9906

Step 3: Multiply the Denominators

Multiply the denominators: 40 × 4 = 160

Step 4: Simplify the Fraction

We can simplify 9906160 to its lowest form.
The greatest common divisor (GCD) of 9906 and 160 is 2.
Dividing both numerator and denominator by the GCD, we get 495380.

Step 5: Convert to Mixed Number

The fraction 495380 can be written as the mixed number 617380.

Final Answer

The result of 78/40 multiplied by 127/4 is:

7840×1274=617380

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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