210/81 multiplied by 30/4 in Fraction Form

The result of 210/81 multiplied by 30/4 is: 19 4/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21081 and 304.

Step 2: Multiply the Numerators

Multiply the numerators: 210 × 30 = 6300

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 4 = 324

Step 4: Simplify the Fraction

We can simplify 6300324 to its lowest form.
The greatest common divisor (GCD) of 6300 and 324 is 36.
Dividing both numerator and denominator by the GCD, we get 1759.

Step 5: Convert to Mixed Number

The fraction 1759 can be written as the mixed number 1949.

Final Answer

The result of 210/81 multiplied by 30/4 is:

21081×304=1949

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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