78/70 multiplied by 127/6 in Fraction Form

The result of 78/70 multiplied by 127/6 is: 23 41/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 7870 and 1276.

Step 2: Multiply the Numerators

Multiply the numerators: 78 × 127 = 9906

Step 3: Multiply the Denominators

Multiply the denominators: 70 × 6 = 420

Step 4: Simplify the Fraction

We can simplify 9906420 to its lowest form.
The greatest common divisor (GCD) of 9906 and 420 is 6.
Dividing both numerator and denominator by the GCD, we get 165170.

Step 5: Convert to Mixed Number

The fraction 165170 can be written as the mixed number 234170.

Final Answer

The result of 78/70 multiplied by 127/6 is:

7870×1276=234170

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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