102/19 multiplied by 101/3 in Fraction Form

The result of 102/19 multiplied by 101/3 is: 180 14/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 10219 and 1013.

Step 2: Multiply the Numerators

Multiply the numerators: 102 × 101 = 10302

Step 3: Multiply the Denominators

Multiply the denominators: 19 × 3 = 57

Step 4: Simplify the Fraction

We can simplify 1030257 to its lowest form.
The greatest common divisor (GCD) of 10302 and 57 is 3.
Dividing both numerator and denominator by the GCD, we get 343419.

Step 5: Convert to Mixed Number

The fraction 343419 can be written as the mixed number 1801419.

Final Answer

The result of 102/19 multiplied by 101/3 is:

10219×1013=1801419

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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