15/71 added to 74/4 in Fraction Form

The result of 15/71 added to 74/4 is: 18 101/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1571 and 744.

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 1571 to 60284
Convert 744 to 5254284

Step 4: Add the Numerators

Add the numerators: 60 + 5254 = 5314

Step 5: Simplify the Fraction

We can simplify 5314284 to its lowest form.
The greatest common divisor (GCD) of 5314 and 284 is 2.
Dividing both numerator and denominator by the GCD, we get 2657142.

Step 6: Convert to Mixed Number

The fraction 2657142 can be written as the mixed number 18101142.

Final Answer

The result of 15/71 added to 74/4 is:

1571+744=18101142

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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