158/74 added to 26/4 in Fraction Form

The result of 158/74 added to 26/4 is: 8 47/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15874 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15874 to 316148
Convert 264 to 962148

Step 4: Add the Numerators

Add the numerators: 316 + 962 = 1278

Step 5: Simplify the Fraction

We can simplify 1278148 to its lowest form.
The greatest common divisor (GCD) of 1278 and 148 is 2.
Dividing both numerator and denominator by the GCD, we get 63974.

Step 6: Convert to Mixed Number

The fraction 63974 can be written as the mixed number 84774.

Final Answer

The result of 158/74 added to 26/4 is:

15874+264=84774

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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