208/7 added to 82/2 in Fraction Form

The result of 208/7 added to 82/2 is: 70 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2087 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2087 to 41614
Convert 822 to 57414

Step 4: Add the Numerators

Add the numerators: 416 + 574 = 990

Step 5: Simplify the Fraction

We can simplify 99014 to its lowest form.
The greatest common divisor (GCD) of 990 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 4957.

Step 6: Convert to Mixed Number

The fraction 4957 can be written as the mixed number 7057.

Final Answer

The result of 208/7 added to 82/2 is:

2087+822=7057

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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