2/36 multiplied by 4/3 in Fraction Form

The result of 2/36 multiplied by 4/3 is: 2/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac236\) and \(\frac43\).

Step 2: Multiply the Numerators

Multiply the numerators: 2 × 4 = 8

Step 3: Multiply the Denominators

Multiply the denominators: 36 × 3 = 108

Step 4: Simplify the Fraction

We can simplify \(\frac8108\) to its lowest form.
The greatest common divisor (GCD) of 8 and 108 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac227\).

Final Answer

The result of 2/36 multiplied by 4/3 is:

\[ \frac{2}{36} \times \frac{4}{3} = \frac227 \]

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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