23/127 multiplied by 74/2 in Fraction Form

The result of 23/127 multiplied by 74/2 is: 6 89/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{3} 127$ and $\frac{7}{4} 2$ .

Step 2: Multiply the Numerators

Multiply the numerators: 23 × 74 = 1702

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 2 = 254

Step 4: Simplify the Fraction

We can simplify $\frac{1}{7} 02254$ to its lowest form.
The greatest common divisor (GCD) of 1702 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{8}{5} 1127$ .

Step 5: Convert to Mixed Number

The fraction $\frac{8}{5} 1127$ can be written as the mixed number $6 \frac{8}{9} 127$ .

Final Answer

The result of 23/127 multiplied by 74/2 is:

\frac{23}{127} \times \frac{74}{2} = 6 \frac{8}{9} 127

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$

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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