103/212 added to 7/4 in Fraction Form

The result of 103/212 added to 7/4 is: 2 25/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 103212 and 74.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 103212 to 103212
Convert 74 to 371212

Step 4: Add the Numerators

Add the numerators: 103 + 371 = 474

Step 5: Simplify the Fraction

We can simplify 474212 to its lowest form.
The greatest common divisor (GCD) of 474 and 212 is 2.
Dividing both numerator and denominator by the GCD, we get 237106.

Step 6: Convert to Mixed Number

The fraction 237106 can be written as the mixed number 225106.

Final Answer

The result of 103/212 added to 7/4 is:

103212+74=225106

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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