15/53 added to 42/3 in Fraction Form

The result of 15/53 added to 42/3 is: 14 15/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1553 and 423.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 3 is 159.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1553 to 45159
Convert 423 to 2226159

Step 4: Add the Numerators

Add the numerators: 45 + 2226 = 2271

Step 5: Simplify the Fraction

We can simplify 2271159 to its lowest form.
The greatest common divisor (GCD) of 2271 and 159 is 3.
Dividing both numerator and denominator by the GCD, we get 75753.

Step 6: Convert to Mixed Number

The fraction 75753 can be written as the mixed number 141553.

Final Answer

The result of 15/53 added to 42/3 is:

1553+423=141553

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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