20/7 multiplied by 212/2 in Fraction Form

The result of 20/7 multiplied by 212/2 is: 302 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{0} 7$ and $\frac{2}{1} 22$ .

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 212 = 4240

Step 3: Multiply the Denominators

Multiply the denominators: 7 × 2 = 14

Step 4: Simplify the Fraction

We can simplify $\frac{4}{2} 4014$ to its lowest form.
The greatest common divisor (GCD) of 4240 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{1} 207$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{1} 207$ can be written as the mixed number $302 \frac{6}{7}$ .

Final Answer

The result of 20/7 multiplied by 212/2 is:

\frac{20}{7} \times \frac{212}{2} = 302 \frac{6}{7}

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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