47/5 multiplied by 7/6 in Fraction Form

The result of 47/5 multiplied by 7/6 is: 10 29/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac475\) and \(\frac76\).

Step 2: Multiply the Numerators

Multiply the numerators: 47 × 7 = 329

Step 3: Multiply the Denominators

Multiply the denominators: 5 × 6 = 30

Step 4: Convert to Mixed Number

The fraction \(\frac32930\) can be written as the mixed number \(10\frac2930\).

Final Answer

The result of 47/5 multiplied by 7/6 is:

\[ \frac{47}{5} \times \frac{7}{6} = 10\frac2930 \]

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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