47/7 multiplied by 213/6 in Fraction Form

The result of 47/7 multiplied by 213/6 is: 238 5/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 477 and 2136.

Step 2: Multiply the Numerators

Multiply the numerators: 47 × 213 = 10011

Step 3: Multiply the Denominators

Multiply the denominators: 7 × 6 = 42

Step 4: Simplify the Fraction

We can simplify 1001142 to its lowest form.
The greatest common divisor (GCD) of 10011 and 42 is 3.
Dividing both numerator and denominator by the GCD, we get 333714.

Step 5: Convert to Mixed Number

The fraction 333714 can be written as the mixed number 238514.

Final Answer

The result of 47/7 multiplied by 213/6 is:

477×2136=238514

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×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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