24/218 added to 70/4 in Fraction Form

The result of 24/218 added to 70/4 is: 17 133/218

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24218 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 218 and 4 is 436.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24218 to 48436
Convert 704 to 7630436

Step 4: Add the Numerators

Add the numerators: 48 + 7630 = 7678

Step 5: Simplify the Fraction

We can simplify 7678436 to its lowest form.
The greatest common divisor (GCD) of 7678 and 436 is 2.
Dividing both numerator and denominator by the GCD, we get 3839218.

Step 6: Convert to Mixed Number

The fraction 3839218 can be written as the mixed number 17133218.

Final Answer

The result of 24/218 added to 70/4 is:

24218+704=17133218

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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