103/146 multiplied by 155/2 in Fraction Form

The result of 103/146 multiplied by 155/2 is: 54 197/292

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac103146\) and \(\frac1552\).

Step 2: Multiply the Numerators

Multiply the numerators: 103 × 155 = 15965

Step 3: Multiply the Denominators

Multiply the denominators: 146 × 2 = 292

Step 4: Convert to Mixed Number

The fraction \(\frac15965292\) can be written as the mixed number \(54\frac197292\).

Final Answer

The result of 103/146 multiplied by 155/2 is:

\[ \frac{103}{146} \times \frac{155}{2} = 54\frac197292 \]

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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