30/24 multiplied by 4/3 in Fraction Form

The result of 30/24 multiplied by 4/3 is: 1 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3024 and 43.

Step 2: Multiply the Numerators

Multiply the numerators: 30 × 4 = 120

Step 3: Multiply the Denominators

Multiply the denominators: 24 × 3 = 72

Step 4: Simplify the Fraction

We can simplify 12072 to its lowest form.
The greatest common divisor (GCD) of 120 and 72 is 24.
Dividing both numerator and denominator by the GCD, we get 53.

Step 5: Convert to Mixed Number

The fraction 53 can be written as the mixed number 123.

Final Answer

The result of 30/24 multiplied by 4/3 is:

3024×43=123

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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