74/232 added to 11/4 in Fraction Form

The result of 74/232 added to 11/4 is: 3 2/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 74232 and 114.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 232 and 4 is 232.

Step 3: Convert Fractions to Equivalent Fractions

Convert 74232 to 74232
Convert 114 to 638232

Step 4: Add the Numerators

Add the numerators: 74 + 638 = 712

Step 5: Simplify the Fraction

We can simplify 712232 to its lowest form.
The greatest common divisor (GCD) of 712 and 232 is 8.
Dividing both numerator and denominator by the GCD, we get 8929.

Step 6: Convert to Mixed Number

The fraction 8929 can be written as the mixed number 3229.

Final Answer

The result of 74/232 added to 11/4 is:

74232+114=3229

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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