58/11 multiplied by 9/4 in Fraction Form

The result of 58/11 multiplied by 9/4 is: 11 19/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 5811 and 94.

Step 2: Multiply the Numerators

Multiply the numerators: 58 × 9 = 522

Step 3: Multiply the Denominators

Multiply the denominators: 11 × 4 = 44

Step 4: Simplify the Fraction

We can simplify 52244 to its lowest form.
The greatest common divisor (GCD) of 522 and 44 is 2.
Dividing both numerator and denominator by the GCD, we get 26122.

Step 5: Convert to Mixed Number

The fraction 26122 can be written as the mixed number 111922.

Final Answer

The result of 58/11 multiplied by 9/4 is:

5811×94=111922

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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