11/238 added to 70/4 in Fraction Form

The result of 11/238 added to 70/4 is: 17 65/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11238 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 238 and 4 is 476.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11238 to 22476
Convert 704 to 8330476

Step 4: Add the Numerators

Add the numerators: 22 + 8330 = 8352

Step 5: Simplify the Fraction

We can simplify 8352476 to its lowest form.
The greatest common divisor (GCD) of 8352 and 476 is 4.
Dividing both numerator and denominator by the GCD, we get 2088119.

Step 6: Convert to Mixed Number

The fraction 2088119 can be written as the mixed number 1765119.

Final Answer

The result of 11/238 added to 70/4 is:

11238+704=1765119

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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