61/7 added to 34/2 in Fraction Form

The result of 61/7 added to 34/2 is: 25 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 617 and 342.

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 617 to 12214
Convert 342 to 23814

Step 4: Add the Numerators

Add the numerators: 122 + 238 = 360

Step 5: Simplify the Fraction

We can simplify 36014 to its lowest form.
The greatest common divisor (GCD) of 360 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 1807.

Step 6: Convert to Mixed Number

The fraction 1807 can be written as the mixed number 2557.

Final Answer

The result of 61/7 added to 34/2 is:

617+342=2557

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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