226/7 added to 70/2 in Fraction Form

The result of 226/7 added to 70/2 is: 67 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2267 and 702.

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 2267 to 45214
Convert 702 to 49014

Step 4: Add the Numerators

Add the numerators: 452 + 490 = 942

Step 5: Simplify the Fraction

We can simplify 94214 to its lowest form.
The greatest common divisor (GCD) of 942 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 4717.

Step 6: Convert to Mixed Number

The fraction 4717 can be written as the mixed number 6727.

Final Answer

The result of 226/7 added to 70/2 is:

2267+702=6727

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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