42/232 added to 23/4 in Fraction Form

The result of 42/232 added to 23/4 is: 5 27/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42232 and 234.

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 42232 to 42232
Convert 234 to 1334232

Step 4: Add the Numerators

Add the numerators: 42 + 1334 = 1376

Step 5: Simplify the Fraction

We can simplify 1376232 to its lowest form.
The greatest common divisor (GCD) of 1376 and 232 is 8.
Dividing both numerator and denominator by the GCD, we get 17229.

Step 6: Convert to Mixed Number

The fraction 17229 can be written as the mixed number 52729.

Final Answer

The result of 42/232 added to 23/4 is:

42232+234=52729

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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