20/70 multiplied by 222/4 in Fraction Form

The result of 20/70 multiplied by 222/4 is: 15 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2070 and 2224.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 222 = 4440

Step 3: Multiply the Denominators

Multiply the denominators: 70 × 4 = 280

Step 4: Simplify the Fraction

We can simplify 4440280 to its lowest form.
The greatest common divisor (GCD) of 4440 and 280 is 40.
Dividing both numerator and denominator by the GCD, we get 1117.

Step 5: Convert to Mixed Number

The fraction 1117 can be written as the mixed number 1567.

Final Answer

The result of 20/70 multiplied by 222/4 is:

2070×2224=1567

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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