117/141 added to 7/2 in Fraction Form

The result of 117/141 added to 7/2 is: 4 31/94

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 117141 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 141 and 2 is 282.

Step 3: Convert Fractions to Equivalent Fractions

Convert 117141 to 234282
Convert 72 to 987282

Step 4: Add the Numerators

Add the numerators: 234 + 987 = 1221

Step 5: Simplify the Fraction

We can simplify 1221282 to its lowest form.
The greatest common divisor (GCD) of 1221 and 282 is 3.
Dividing both numerator and denominator by the GCD, we get 40794.

Step 6: Convert to Mixed Number

The fraction 40794 can be written as the mixed number 43194.

Final Answer

The result of 117/141 added to 7/2 is:

117141+72=43194

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).

Fraction Calculator

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