127/34 added to 157/2 in Fraction Form

The result of 127/34 added to 157/2 is: 82 4/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12734 and 1572.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 2 is 34.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12734 to 12734
Convert 1572 to 266934

Step 4: Add the Numerators

Add the numerators: 127 + 2669 = 2796

Step 5: Simplify the Fraction

We can simplify 279634 to its lowest form.
The greatest common divisor (GCD) of 2796 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 139817.

Step 6: Convert to Mixed Number

The fraction 139817 can be written as the mixed number 82417.

Final Answer

The result of 127/34 added to 157/2 is:

12734+1572=82417

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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