101/112 multiplied by 102/2 in Fraction Form

The result of 101/112 multiplied by 102/2 is: 45 111/112

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{0} 1112$ and $\frac{1}{0} 22$ .

Step 2: Multiply the Numerators

Multiply the numerators: 101 × 102 = 10302

Step 3: Multiply the Denominators

Multiply the denominators: 112 × 2 = 224

Step 4: Simplify the Fraction

We can simplify $\frac{1}{0} 302224$ to its lowest form.
The greatest common divisor (GCD) of 10302 and 224 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{1} 51112$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{1} 51112$ can be written as the mixed number $45 \frac{1}{1} 1112$ .

Final Answer

The result of 101/112 multiplied by 102/2 is:

\frac{101}{112} \times \frac{102}{2} = 45 \frac{1}{1} 1112

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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