48/237 added to 5/4 in Fraction Form

The result of 48/237 added to 5/4 is: 1 143/316

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 48237 and 54.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 237 and 4 is 948.

Step 3: Convert Fractions to Equivalent Fractions

Convert 48237 to 192948
Convert 54 to 1185948

Step 4: Add the Numerators

Add the numerators: 192 + 1185 = 1377

Step 5: Simplify the Fraction

We can simplify 1377948 to its lowest form.
The greatest common divisor (GCD) of 1377 and 948 is 3.
Dividing both numerator and denominator by the GCD, we get 459316.

Step 6: Convert to Mixed Number

The fraction 459316 can be written as the mixed number 1143316.

Final Answer

The result of 48/237 added to 5/4 is:

48237+54=1143316

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: