38/37 multiplied by 233/2 in Fraction Form

The result of 38/37 multiplied by 233/2 is: 119 24/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{8} 37$ and $\frac{2}{3} 32$ .

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 233 = 8854

Step 3: Multiply the Denominators

Multiply the denominators: 37 × 2 = 74

Step 4: Simplify the Fraction

We can simplify $\frac{8}{8} 5474$ to its lowest form.
The greatest common divisor (GCD) of 8854 and 74 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{4} 2737$ .

Step 5: Convert to Mixed Number

The fraction $\frac{4}{4} 2737$ can be written as the mixed number $119 \frac{2}{4} 37$ .

Final Answer

The result of 38/37 multiplied by 233/2 is:

\frac{38}{37} \times \frac{233}{2} = 119 \frac{2}{4} 37

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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