177/10 multiplied by 199/4 in Fraction Form

The result of 177/10 multiplied by 199/4 is: 880 23/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac17710\) and \(\frac1994\).

Step 2: Multiply the Numerators

Multiply the numerators: 177 × 199 = 35223

Step 3: Multiply the Denominators

Multiply the denominators: 10 × 4 = 40

Step 4: Convert to Mixed Number

The fraction \(\frac3522340\) can be written as the mixed number \(880\frac2340\).

Final Answer

The result of 177/10 multiplied by 199/4 is:

\[ \frac{177}{10} \times \frac{199}{4} = 880\frac2340 \]

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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