77/4 multiplied by 103/3 in Fraction Form

The result of 77/4 multiplied by 103/3 is: 660 11/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac774\) and \(\frac1033\).

Step 2: Multiply the Numerators

Multiply the numerators: 77 × 103 = 7931

Step 3: Multiply the Denominators

Multiply the denominators: 4 × 3 = 12

Step 4: Convert to Mixed Number

The fraction \(\frac793112\) can be written as the mixed number \(660\frac1112\).

Final Answer

The result of 77/4 multiplied by 103/3 is:

\[ \frac{77}{4} \times \frac{103}{3} = 660\frac1112 \]

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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