7/146 added to 140/4 in Fraction Form

The result of 7/146 added to 140/4 is: 35 7/146

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7146 and 1404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 4 is 292.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7146 to 14292
Convert 1404 to 10220292

Step 4: Add the Numerators

Add the numerators: 14 + 10220 = 10234

Step 5: Simplify the Fraction

We can simplify 10234292 to its lowest form.
The greatest common divisor (GCD) of 10234 and 292 is 2.
Dividing both numerator and denominator by the GCD, we get 5117146.

Step 6: Convert to Mixed Number

The fraction 5117146 can be written as the mixed number 357146.

Final Answer

The result of 7/146 added to 140/4 is:

7146+1404=357146

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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