15/7 multiplied by 49/6 in Fraction Form

The result of 15/7 multiplied by 49/6 is: 17 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{5} 7$ and $\frac{4}{9} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 15 × 49 = 735

Step 3: Multiply the Denominators

Multiply the denominators: 7 × 6 = 42

Step 4: Simplify the Fraction

We can simplify $\frac{7}{3} 542$ to its lowest form.
The greatest common divisor (GCD) of 735 and 42 is 21.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{5} 2$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{5} 2$ can be written as the mixed number $17 \frac{1}{2}$ .

Final Answer

The result of 15/7 multiplied by 49/6 is:

\frac{15}{7} \times \frac{49}{6} = 17 \frac{1}{2}

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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