8/178 multiplied by 1/2 in Fraction Form

The result of 8/178 multiplied by 1/2 is: 2/89

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac8178\) and \(\frac12\).

Step 2: Multiply the Numerators

Multiply the numerators: 8 × 1 = 8

Step 3: Multiply the Denominators

Multiply the denominators: 178 × 2 = 356

Step 4: Simplify the Fraction

We can simplify \(\frac8356\) to its lowest form.
The greatest common divisor (GCD) of 8 and 356 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac289\).

Final Answer

The result of 8/178 multiplied by 1/2 is:

\[ \frac{8}{178} \times \frac{1}{2} = \frac289 \]

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

\( \frac{8}{178} + \frac{1}{2} \)
Calculate
\( \frac{8}{178} - \frac{1}{2} \)
Calculate
\( \frac{8}{178} \div \frac{1}{2} \)
Calculate
\( \frac{9}{178} \times \frac{1}{2} \)
Calculate
\( \frac{8}{178} \times \frac{2}{2} \)
Calculate
\( \frac{8}{179} \times \frac{1}{2} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: