177/23 multiplied by 101/3 in Fraction Form

The result of 177/23 multiplied by 101/3 is: 259 2/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{7} 723$ and $\frac{1}{0} 13$ .

Step 2: Multiply the Numerators

Multiply the numerators: 177 × 101 = 17877

Step 3: Multiply the Denominators

Multiply the denominators: 23 × 3 = 69

Step 4: Simplify the Fraction

We can simplify $\frac{1}{7} 87769$ to its lowest form.
The greatest common divisor (GCD) of 17877 and 69 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{9} 5923$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{9} 5923$ can be written as the mixed number $259 \frac{2}{2} 3$ .

Final Answer

The result of 177/23 multiplied by 101/3 is:

\frac{177}{23} \times \frac{101}{3} = 259 \frac{2}{2} 3

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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