69/220 added to 19/4 in Fraction Form

The result of 69/220 added to 19/4 is: 5 7/110

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69220 and 194.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 220 and 4 is 220.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69220 to 69220
Convert 194 to 1045220

Step 4: Add the Numerators

Add the numerators: 69 + 1045 = 1114

Step 5: Simplify the Fraction

We can simplify 1114220 to its lowest form.
The greatest common divisor (GCD) of 1114 and 220 is 2.
Dividing both numerator and denominator by the GCD, we get 557110.

Step 6: Convert to Mixed Number

The fraction 557110 can be written as the mixed number 57110.

Final Answer

The result of 69/220 added to 19/4 is:

69220+194=57110

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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