101/13 added to 154/2 in Fraction Form

The result of 101/13 added to 154/2 is: 84 10/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10113 and 1542.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10113 to 20226
Convert 1542 to 200226

Step 4: Add the Numerators

Add the numerators: 202 + 2002 = 2204

Step 5: Simplify the Fraction

We can simplify 220426 to its lowest form.
The greatest common divisor (GCD) of 2204 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 110213.

Step 6: Convert to Mixed Number

The fraction 110213 can be written as the mixed number 841013.

Final Answer

The result of 101/13 added to 154/2 is:

10113+1542=841013

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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