15/274 added to 30/4 in Fraction Form

The result of 15/274 added to 30/4 is: 7 76/137

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15274 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 274 and 4 is 548.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15274 to 30548
Convert 304 to 4110548

Step 4: Add the Numerators

Add the numerators: 30 + 4110 = 4140

Step 5: Simplify the Fraction

We can simplify 4140548 to its lowest form.
The greatest common divisor (GCD) of 4140 and 548 is 4.
Dividing both numerator and denominator by the GCD, we get 1035137.

Step 6: Convert to Mixed Number

The fraction 1035137 can be written as the mixed number 776137.

Final Answer

The result of 15/274 added to 30/4 is:

15274+304=776137

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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