38/53 added to 26/8 in Fraction Form

The result of 38/53 added to 26/8 is: 3 205/212

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3853 and 268.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 8 is 424.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3853 to 304424
Convert 268 to 1378424

Step 4: Add the Numerators

Add the numerators: 304 + 1378 = 1682

Step 5: Simplify the Fraction

We can simplify 1682424 to its lowest form.
The greatest common divisor (GCD) of 1682 and 424 is 2.
Dividing both numerator and denominator by the GCD, we get 841212.

Step 6: Convert to Mixed Number

The fraction 841212 can be written as the mixed number 3205212.

Final Answer

The result of 38/53 added to 26/8 is:

3853+268=3205212

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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