37/21 multiplied by 83/4 in Fraction Form

The result of 37/21 multiplied by 83/4 is: 36 47/84

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac3721\) and \(\frac834\).

Step 2: Multiply the Numerators

Multiply the numerators: 37 × 83 = 3071

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 4 = 84

Step 4: Convert to Mixed Number

The fraction \(\frac307184\) can be written as the mixed number \(36\frac4784\).

Final Answer

The result of 37/21 multiplied by 83/4 is:

\[ \frac{37}{21} \times \frac{83}{4} = 36\frac4784 \]

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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