10/233 added to 70/4 in Fraction Form

The result of 10/233 added to 70/4 is: 17 253/466

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10233 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 233 and 4 is 932.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10233 to 40932
Convert 704 to 16310932

Step 4: Add the Numerators

Add the numerators: 40 + 16310 = 16350

Step 5: Simplify the Fraction

We can simplify 16350932 to its lowest form.
The greatest common divisor (GCD) of 16350 and 932 is 2.
Dividing both numerator and denominator by the GCD, we get 8175466.

Step 6: Convert to Mixed Number

The fraction 8175466 can be written as the mixed number 17253466.

Final Answer

The result of 10/233 added to 70/4 is:

10233+704=17253466

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).

Fraction Calculator

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