202/70 multiplied by 40/3 in Fraction Form

The result of 202/70 multiplied by 40/3 is: 38 10/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20270 and 403.

Step 2: Multiply the Numerators

Multiply the numerators: 202 × 40 = 8080

Step 3: Multiply the Denominators

Multiply the denominators: 70 × 3 = 210

Step 4: Simplify the Fraction

We can simplify 8080210 to its lowest form.
The greatest common divisor (GCD) of 8080 and 210 is 10.
Dividing both numerator and denominator by the GCD, we get 80821.

Step 5: Convert to Mixed Number

The fraction 80821 can be written as the mixed number 381021.

Final Answer

The result of 202/70 multiplied by 40/3 is:

20270×403=381021

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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