14/20 multiplied by 47/4 in Fraction Form

The result of 14/20 multiplied by 47/4 is: 8 9/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1420 and 474.

Step 2: Multiply the Numerators

Multiply the numerators: 14 × 47 = 658

Step 3: Multiply the Denominators

Multiply the denominators: 20 × 4 = 80

Step 4: Simplify the Fraction

We can simplify 65880 to its lowest form.
The greatest common divisor (GCD) of 658 and 80 is 2.
Dividing both numerator and denominator by the GCD, we get 32940.

Step 5: Convert to Mixed Number

The fraction 32940 can be written as the mixed number 8940.

Final Answer

The result of 14/20 multiplied by 47/4 is:

1420×474=8940

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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