18/23 multiplied by 10/4 in Fraction Form

The result of 18/23 multiplied by 10/4 is: 1 22/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1823 and 104.

Step 2: Multiply the Numerators

Multiply the numerators: 18 × 10 = 180

Step 3: Multiply the Denominators

Multiply the denominators: 23 × 4 = 92

Step 4: Simplify the Fraction

We can simplify 18092 to its lowest form.
The greatest common divisor (GCD) of 180 and 92 is 4.
Dividing both numerator and denominator by the GCD, we get 4523.

Step 5: Convert to Mixed Number

The fraction 4523 can be written as the mixed number 12223.

Final Answer

The result of 18/23 multiplied by 10/4 is:

1823×104=12223

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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