210/74 added to 15/3 in Fraction Form

The result of 210/74 added to 15/3 is: 7 31/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21074 and 153.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21074 to 630222
Convert 153 to 1110222

Step 4: Add the Numerators

Add the numerators: 630 + 1110 = 1740

Step 5: Simplify the Fraction

We can simplify 1740222 to its lowest form.
The greatest common divisor (GCD) of 1740 and 222 is 6.
Dividing both numerator and denominator by the GCD, we get 29037.

Step 6: Convert to Mixed Number

The fraction 29037 can be written as the mixed number 73137.

Final Answer

The result of 210/74 added to 15/3 is:

21074+153=73137

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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