21/112 added to 76/4 in Fraction Form

The result of 21/112 added to 76/4 is: 19 3/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21112 and 764.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 4 is 112.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21112 to 21112
Convert 764 to 2128112

Step 4: Add the Numerators

Add the numerators: 21 + 2128 = 2149

Step 5: Simplify the Fraction

We can simplify 2149112 to its lowest form.
The greatest common divisor (GCD) of 2149 and 112 is 7.
Dividing both numerator and denominator by the GCD, we get 30716.

Step 6: Convert to Mixed Number

The fraction 30716 can be written as the mixed number 19316.

Final Answer

The result of 21/112 added to 76/4 is:

21112+764=19316

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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