153/19 multiplied by 102/3 in Fraction Form

The result of 153/19 multiplied by 102/3 is: 273 15/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 15319 and 1023.

Step 2: Multiply the Numerators

Multiply the numerators: 153 × 102 = 15606

Step 3: Multiply the Denominators

Multiply the denominators: 19 × 3 = 57

Step 4: Simplify the Fraction

We can simplify 1560657 to its lowest form.
The greatest common divisor (GCD) of 15606 and 57 is 3.
Dividing both numerator and denominator by the GCD, we get 520219.

Step 5: Convert to Mixed Number

The fraction 520219 can be written as the mixed number 2731519.

Final Answer

The result of 153/19 multiplied by 102/3 is:

15319×1023=2731519

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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