70/222 added to 16/4 in Fraction Form

The result of 70/222 added to 16/4 is: 4 35/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70222 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 4 is 444.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70222 to 140444
Convert 164 to 1776444

Step 4: Add the Numerators

Add the numerators: 140 + 1776 = 1916

Step 5: Simplify the Fraction

We can simplify 1916444 to its lowest form.
The greatest common divisor (GCD) of 1916 and 444 is 4.
Dividing both numerator and denominator by the GCD, we get 479111.

Step 6: Convert to Mixed Number

The fraction 479111 can be written as the mixed number 435111.

Final Answer

The result of 70/222 added to 16/4 is:

70222+164=435111

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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