83/10 multiplied by 41/4 in Fraction Form

The result of 83/10 multiplied by 41/4 is: 85 3/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac8310\) and \(\frac414\).

Step 2: Multiply the Numerators

Multiply the numerators: 83 × 41 = 3403

Step 3: Multiply the Denominators

Multiply the denominators: 10 × 4 = 40

Step 4: Convert to Mixed Number

The fraction \(\frac340340\) can be written as the mixed number \(85\frac340\).

Final Answer

The result of 83/10 multiplied by 41/4 is:

\[ \frac{83}{10} \times \frac{41}{4} = 85\frac340 \]

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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