127/148 added to 45/4 in Fraction Form

The result of 127/148 added to 45/4 is: 12 4/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127148 and 454.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127148 to 127148
Convert 454 to 1665148

Step 4: Add the Numerators

Add the numerators: 127 + 1665 = 1792

Step 5: Simplify the Fraction

We can simplify 1792148 to its lowest form.
The greatest common divisor (GCD) of 1792 and 148 is 4.
Dividing both numerator and denominator by the GCD, we get 44837.

Step 6: Convert to Mixed Number

The fraction 44837 can be written as the mixed number 12437.

Final Answer

The result of 127/148 added to 45/4 is:

127148+454=12437

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

Calculate operations between any two fractions: