7/146 added to 42/6 in Fraction Form

The result of 7/146 added to 42/6 is: 7 7/146

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7146 and 426.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 6 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7146 to 21438
Convert 426 to 3066438

Step 4: Add the Numerators

Add the numerators: 21 + 3066 = 3087

Step 5: Simplify the Fraction

We can simplify 3087438 to its lowest form.
The greatest common divisor (GCD) of 3087 and 438 is 3.
Dividing both numerator and denominator by the GCD, we get 1029146.

Step 6: Convert to Mixed Number

The fraction 1029146 can be written as the mixed number 77146.

Final Answer

The result of 7/146 added to 42/6 is:

7146+426=77146

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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