8/76 added to 154/4 in Fraction Form

The result of 8/76 added to 154/4 is: 38 23/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 876 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 76 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 876 to 876
Convert 1544 to 292676

Step 4: Add the Numerators

Add the numerators: 8 + 2926 = 2934

Step 5: Simplify the Fraction

We can simplify 293476 to its lowest form.
The greatest common divisor (GCD) of 2934 and 76 is 2.
Dividing both numerator and denominator by the GCD, we get 146738.

Step 6: Convert to Mixed Number

The fraction 146738 can be written as the mixed number 382338.

Final Answer

The result of 8/76 added to 154/4 is:

876+1544=382338

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).

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