153/102 multiplied by 71/2 in Fraction Form

The result of 153/102 multiplied by 71/2 is: 53 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 153102 and 712.

Step 2: Multiply the Numerators

Multiply the numerators: 153 × 71 = 10863

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 2 = 204

Step 4: Simplify the Fraction

We can simplify 10863204 to its lowest form.
The greatest common divisor (GCD) of 10863 and 204 is 51.
Dividing both numerator and denominator by the GCD, we get 2134.

Step 5: Convert to Mixed Number

The fraction 2134 can be written as the mixed number 5314.

Final Answer

The result of 153/102 multiplied by 71/2 is:

153102×712=5314

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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