71/142 added to 101/3 in Fraction Form

The result of 71/142 added to 101/3 is: 34 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 71142 and 1013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 3 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 71142 to 213426
Convert 1013 to 14342426

Step 4: Add the Numerators

Add the numerators: 213 + 14342 = 14555

Step 5: Simplify the Fraction

We can simplify 14555426 to its lowest form.
The greatest common divisor (GCD) of 14555 and 426 is 71.
Dividing both numerator and denominator by the GCD, we get 2056.

Step 6: Convert to Mixed Number

The fraction 2056 can be written as the mixed number 3416.

Final Answer

The result of 71/142 added to 101/3 is:

71142+1013=3416

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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