158/74 added to 4/2 in Fraction Form

The result of 158/74 added to 4/2 is: 4 5/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15874 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 2 is 74.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15874 to 15874
Convert 42 to 14874

Step 4: Add the Numerators

Add the numerators: 158 + 148 = 306

Step 5: Simplify the Fraction

We can simplify 30674 to its lowest form.
The greatest common divisor (GCD) of 306 and 74 is 2.
Dividing both numerator and denominator by the GCD, we get 15337.

Step 6: Convert to Mixed Number

The fraction 15337 can be written as the mixed number 4537.

Final Answer

The result of 158/74 added to 4/2 is:

15874+42=4537

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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