61/27 added to 10/4 in Fraction Form

The result of 61/27 added to 10/4 is: 4 41/54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6127 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 4 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6127 to 244108
Convert 104 to 270108

Step 4: Add the Numerators

Add the numerators: 244 + 270 = 514

Step 5: Simplify the Fraction

We can simplify 514108 to its lowest form.
The greatest common divisor (GCD) of 514 and 108 is 2.
Dividing both numerator and denominator by the GCD, we get 25754.

Step 6: Convert to Mixed Number

The fraction 25754 can be written as the mixed number 44154.

Final Answer

The result of 61/27 added to 10/4 is:

6127+104=44154

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).

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