26/57 added to 194/4 in Fraction Form

The result of 26/57 added to 194/4 is: 48 109/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2657 and 1944.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2657 to 104228
Convert 1944 to 11058228

Step 4: Add the Numerators

Add the numerators: 104 + 11058 = 11162

Step 5: Simplify the Fraction

We can simplify 11162228 to its lowest form.
The greatest common divisor (GCD) of 11162 and 228 is 2.
Dividing both numerator and denominator by the GCD, we get 5581114.

Step 6: Convert to Mixed Number

The fraction 5581114 can be written as the mixed number 48109114.

Final Answer

The result of 26/57 added to 194/4 is:

2657+1944=48109114

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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