10/140 added to 118/3 in Fraction Form

The result of 10/140 added to 118/3 is: 39 17/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10140 and 1183.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 140 and 3 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10140 to 30420
Convert 1183 to 16520420

Step 4: Add the Numerators

Add the numerators: 30 + 16520 = 16550

Step 5: Simplify the Fraction

We can simplify 16550420 to its lowest form.
The greatest common divisor (GCD) of 16550 and 420 is 10.
Dividing both numerator and denominator by the GCD, we get 165542.

Step 6: Convert to Mixed Number

The fraction 165542 can be written as the mixed number 391742.

Final Answer

The result of 10/140 added to 118/3 is:

10140+1183=391742

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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