67/69 multiplied by 166/4 in Fraction Form

The result of 67/69 multiplied by 166/4 is: 40 41/138

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{6}{7} 69$ and $\frac{1}{6} 64$ .

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 166 = 11122

Step 3: Multiply the Denominators

Multiply the denominators: 69 × 4 = 276

Step 4: Simplify the Fraction

We can simplify $\frac{1}{1} 122276$ to its lowest form.
The greatest common divisor (GCD) of 11122 and 276 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{5} 61138$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{5} 61138$ can be written as the mixed number $40 \frac{4}{1} 138$ .

Final Answer

The result of 67/69 multiplied by 166/4 is:

\frac{67}{69} \times \frac{166}{4} = 40 \frac{4}{1} 138

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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