1/21 multiplied by 102/3 in Fraction Form

The result of 1/21 multiplied by 102/3 is: 1 13/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 121 and 1023.

Step 2: Multiply the Numerators

Multiply the numerators: 1 × 102 = 102

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 3 = 63

Step 4: Simplify the Fraction

We can simplify 10263 to its lowest form.
The greatest common divisor (GCD) of 102 and 63 is 3.
Dividing both numerator and denominator by the GCD, we get 3421.

Step 5: Convert to Mixed Number

The fraction 3421 can be written as the mixed number 11321.

Final Answer

The result of 1/21 multiplied by 102/3 is:

121×1023=11321

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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