74/4 multiplied by 83/2 in Fraction Form

The result of 74/4 multiplied by 83/2 is: 767 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac744\) and \(\frac832\).

Step 2: Multiply the Numerators

Multiply the numerators: 74 × 83 = 6142

Step 3: Multiply the Denominators

Multiply the denominators: 4 × 2 = 8

Step 4: Simplify the Fraction

We can simplify \(\frac61428\) to its lowest form.
The greatest common divisor (GCD) of 6142 and 8 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac30714\).

Step 5: Convert to Mixed Number

The fraction \(\frac30714\) can be written as the mixed number \(767\frac34\).

Final Answer

The result of 74/4 multiplied by 83/2 is:

\[ \frac{74}{4} \times \frac{83}{2} = 767\frac34 \]

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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