24/177 added to 142/4 in Fraction Form

The result of 24/177 added to 142/4 is: 35 75/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24177 and 1424.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 4 is 708.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24177 to 96708
Convert 1424 to 25134708

Step 4: Add the Numerators

Add the numerators: 96 + 25134 = 25230

Step 5: Simplify the Fraction

We can simplify 25230708 to its lowest form.
The greatest common divisor (GCD) of 25230 and 708 is 6.
Dividing both numerator and denominator by the GCD, we get 4205118.

Step 6: Convert to Mixed Number

The fraction 4205118 can be written as the mixed number 3575118.

Final Answer

The result of 24/177 added to 142/4 is:

24177+1424=3575118

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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