112/148 added to 21/3 in Fraction Form

The result of 112/148 added to 21/3 is: 7 28/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 112148 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 3 is 444.

Step 3: Convert Fractions to Equivalent Fractions

Convert 112148 to 336444
Convert 213 to 3108444

Step 4: Add the Numerators

Add the numerators: 336 + 3108 = 3444

Step 5: Simplify the Fraction

We can simplify 3444444 to its lowest form.
The greatest common divisor (GCD) of 3444 and 444 is 12.
Dividing both numerator and denominator by the GCD, we get 28737.

Step 6: Convert to Mixed Number

The fraction 28737 can be written as the mixed number 72837.

Final Answer

The result of 112/148 added to 21/3 is:

112148+213=72837

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

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).

Fraction Calculator

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