67/14 multiplied by 55/4 in Fraction Form

The result of 67/14 multiplied by 55/4 is: 65 45/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac6714\) and \(\frac554\).

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 55 = 3685

Step 3: Multiply the Denominators

Multiply the denominators: 14 × 4 = 56

Step 4: Convert to Mixed Number

The fraction \(\frac368556\) can be written as the mixed number \(65\frac4556\).

Final Answer

The result of 67/14 multiplied by 55/4 is:

\[ \frac{67}{14} \times \frac{55}{4} = 65\frac4556 \]

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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