70/235 added to 10/4 in Fraction Form

The result of 70/235 added to 10/4 is: 2 75/94

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70235 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 4 is 940.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70235 to 280940
Convert 104 to 2350940

Step 4: Add the Numerators

Add the numerators: 280 + 2350 = 2630

Step 5: Simplify the Fraction

We can simplify 2630940 to its lowest form.
The greatest common divisor (GCD) of 2630 and 940 is 10.
Dividing both numerator and denominator by the GCD, we get 26394.

Step 6: Convert to Mixed Number

The fraction 26394 can be written as the mixed number 27594.

Final Answer

The result of 70/235 added to 10/4 is:

70235+104=27594

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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