10/101 multiplied by 48/4 in Fraction Form

The result of 10/101 multiplied by 48/4 is: 1 19/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 10101 and 484.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 48 = 480

Step 3: Multiply the Denominators

Multiply the denominators: 101 × 4 = 404

Step 4: Simplify the Fraction

We can simplify 480404 to its lowest form.
The greatest common divisor (GCD) of 480 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 120101.

Step 5: Convert to Mixed Number

The fraction 120101 can be written as the mixed number 119101.

Final Answer

The result of 10/101 multiplied by 48/4 is:

10101×484=119101

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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