21/159 added to 140/4 in Fraction Form

The result of 21/159 added to 140/4 is: 35 7/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21159 and 1404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 4 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21159 to 84636
Convert 1404 to 22260636

Step 4: Add the Numerators

Add the numerators: 84 + 22260 = 22344

Step 5: Simplify the Fraction

We can simplify 22344636 to its lowest form.
The greatest common divisor (GCD) of 22344 and 636 is 12.
Dividing both numerator and denominator by the GCD, we get 186253.

Step 6: Convert to Mixed Number

The fraction 186253 can be written as the mixed number 35753.

Final Answer

The result of 21/159 added to 140/4 is:

21159+1404=35753

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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