110/21 added to 154/4 in Fraction Form

The result of 110/21 added to 154/4 is: 43 31/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11021 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11021 to 44084
Convert 1544 to 323484

Step 4: Add the Numerators

Add the numerators: 440 + 3234 = 3674

Step 5: Simplify the Fraction

We can simplify 367484 to its lowest form.
The greatest common divisor (GCD) of 3674 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 183742.

Step 6: Convert to Mixed Number

The fraction 183742 can be written as the mixed number 433142.

Final Answer

The result of 110/21 added to 154/4 is:

11021+1544=433142

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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