157/19 multiplied by 102/3 in Fraction Form

The result of 157/19 multiplied by 102/3 is: 280 18/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 15719 and 1023.

Step 2: Multiply the Numerators

Multiply the numerators: 157 × 102 = 16014

Step 3: Multiply the Denominators

Multiply the denominators: 19 × 3 = 57

Step 4: Simplify the Fraction

We can simplify 1601457 to its lowest form.
The greatest common divisor (GCD) of 16014 and 57 is 3.
Dividing both numerator and denominator by the GCD, we get 533819.

Step 5: Convert to Mixed Number

The fraction 533819 can be written as the mixed number 2801819.

Final Answer

The result of 157/19 multiplied by 102/3 is:

15719×1023=2801819

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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