31/100 added to 67/4 in Fraction Form

The result of 31/100 added to 67/4 is: 17 3/50

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 31100 and 674.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 100 and 4 is 100.

Step 3: Convert Fractions to Equivalent Fractions

Convert 31100 to 31100
Convert 674 to 1675100

Step 4: Add the Numerators

Add the numerators: 31 + 1675 = 1706

Step 5: Simplify the Fraction

We can simplify 1706100 to its lowest form.
The greatest common divisor (GCD) of 1706 and 100 is 2.
Dividing both numerator and denominator by the GCD, we get 85350.

Step 6: Convert to Mixed Number

The fraction 85350 can be written as the mixed number 17350.

Final Answer

The result of 31/100 added to 67/4 is:

31100+674=17350

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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