64/151 added to 26/2 in Fraction Form

The result of 64/151 added to 26/2 is: 13 64/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64151 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 2 is 302.

Step 3: Convert Fractions to Equivalent Fractions

Convert 64151 to 128302
Convert 262 to 3926302

Step 4: Add the Numerators

Add the numerators: 128 + 3926 = 4054

Step 5: Simplify the Fraction

We can simplify 4054302 to its lowest form.
The greatest common divisor (GCD) of 4054 and 302 is 2.
Dividing both numerator and denominator by the GCD, we get 2027151.

Step 6: Convert to Mixed Number

The fraction 2027151 can be written as the mixed number 1364151.

Final Answer

The result of 64/151 added to 26/2 is:

64151+262=1364151

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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