70/158 added to 101/3 in Fraction Form

The result of 70/158 added to 101/3 is: 34 26/237

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70158 and 1013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 158 and 3 is 474.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70158 to 210474
Convert 1013 to 15958474

Step 4: Add the Numerators

Add the numerators: 210 + 15958 = 16168

Step 5: Simplify the Fraction

We can simplify 16168474 to its lowest form.
The greatest common divisor (GCD) of 16168 and 474 is 2.
Dividing both numerator and denominator by the GCD, we get 8084237.

Step 6: Convert to Mixed Number

The fraction 8084237 can be written as the mixed number 3426237.

Final Answer

The result of 70/158 added to 101/3 is:

70158+1013=3426237

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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