21/77 added to 210/2 in Fraction Form

The result of 21/77 added to 210/2 is: 105 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2177 and 2102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 77 and 2 is 154.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2177 to 42154
Convert 2102 to 16170154

Step 4: Add the Numerators

Add the numerators: 42 + 16170 = 16212

Step 5: Simplify the Fraction

We can simplify 16212154 to its lowest form.
The greatest common divisor (GCD) of 16212 and 154 is 14.
Dividing both numerator and denominator by the GCD, we get 115811.

Step 6: Convert to Mixed Number

The fraction 115811 can be written as the mixed number 105311.

Final Answer

The result of 21/77 added to 210/2 is:

2177+2102=105311

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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