157/71 added to 82/4 in Fraction Form

The result of 157/71 added to 82/4 is: 22 101/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15771 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 4 is 284.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15771 to 628284
Convert 824 to 5822284

Step 4: Add the Numerators

Add the numerators: 628 + 5822 = 6450

Step 5: Simplify the Fraction

We can simplify 6450284 to its lowest form.
The greatest common divisor (GCD) of 6450 and 284 is 2.
Dividing both numerator and denominator by the GCD, we get 3225142.

Step 6: Convert to Mixed Number

The fraction 3225142 can be written as the mixed number 22101142.

Final Answer

The result of 157/71 added to 82/4 is:

15771+824=22101142

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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