70/4 added to 223/3 in Fraction Form

The result of 70/4 added to 223/3 is: 91 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 704 and 2233.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 4 and 3 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 704 to 21012
Convert 2233 to 89212

Step 4: Add the Numerators

Add the numerators: 210 + 892 = 1102

Step 5: Simplify the Fraction

We can simplify 110212 to its lowest form.
The greatest common divisor (GCD) of 1102 and 12 is 2.
Dividing both numerator and denominator by the GCD, we get 5516.

Step 6: Convert to Mixed Number

The fraction 5516 can be written as the mixed number 9156.

Final Answer

The result of 70/4 added to 223/3 is:

704+2233=9156

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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