109/2 multiplied by 4/3 in Fraction Form

The result of 109/2 multiplied by 4/3 is: 72 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac1092\) and \(\frac43\).

Step 2: Multiply the Numerators

Multiply the numerators: 109 × 4 = 436

Step 3: Multiply the Denominators

Multiply the denominators: 2 × 3 = 6

Step 4: Simplify the Fraction

We can simplify \(\frac4366\) to its lowest form.
The greatest common divisor (GCD) of 436 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac2183\).

Step 5: Convert to Mixed Number

The fraction \(\frac2183\) can be written as the mixed number \(72\frac23\).

Final Answer

The result of 109/2 multiplied by 4/3 is:

\[ \frac{109}{2} \times \frac{4}{3} = 72\frac23 \]

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).

Related Calculations

\( \frac{109}{2} + \frac{4}{3} \)
Calculate
\( \frac{109}{2} - \frac{4}{3} \)
Calculate
\( \frac{109}{2} \div \frac{4}{3} \)
Calculate
\( \frac{110}{2} \times \frac{4}{3} \)
Calculate
\( \frac{109}{2} \times \frac{5}{3} \)
Calculate
\( \frac{109}{3} \times \frac{4}{3} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: