151/127 added to 30/4 in Fraction Form

The result of 151/127 added to 30/4 is: 8 175/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 151127 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 151127 to 604508
Convert 304 to 3810508

Step 4: Add the Numerators

Add the numerators: 604 + 3810 = 4414

Step 5: Simplify the Fraction

We can simplify 4414508 to its lowest form.
The greatest common divisor (GCD) of 4414 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 2207254.

Step 6: Convert to Mixed Number

The fraction 2207254 can be written as the mixed number 8175254.

Final Answer

The result of 151/127 added to 30/4 is:

151127+304=8175254

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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