40/170 added to 101/4 in Fraction Form

The result of 40/170 added to 101/4 is: 25 33/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 40170 and 1014.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 40170 to 80340
Convert 1014 to 8585340

Step 4: Add the Numerators

Add the numerators: 80 + 8585 = 8665

Step 5: Simplify the Fraction

We can simplify 8665340 to its lowest form.
The greatest common divisor (GCD) of 8665 and 340 is 5.
Dividing both numerator and denominator by the GCD, we get 173368.

Step 6: Convert to Mixed Number

The fraction 173368 can be written as the mixed number 253368.

Final Answer

The result of 40/170 added to 101/4 is:

40170+1014=253368

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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