31/57 added to 26/6 in Fraction Form

The result of 31/57 added to 26/6 is: 4 50/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3157 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 6 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3157 to 62114
Convert 266 to 494114

Step 4: Add the Numerators

Add the numerators: 62 + 494 = 556

Step 5: Simplify the Fraction

We can simplify 556114 to its lowest form.
The greatest common divisor (GCD) of 556 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 27857.

Step 6: Convert to Mixed Number

The fraction 27857 can be written as the mixed number 45057.

Final Answer

The result of 31/57 added to 26/6 is:

3157+266=45057

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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