49/100 added to 71/4 in Fraction Form

The result of 49/100 added to 71/4 is: 18 6/25

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 49100 and 714.

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 49100 to 49100
Convert 714 to 1775100

Step 4: Add the Numerators

Add the numerators: 49 + 1775 = 1824

Step 5: Simplify the Fraction

We can simplify 1824100 to its lowest form.
The greatest common divisor (GCD) of 1824 and 100 is 4.
Dividing both numerator and denominator by the GCD, we get 45625.

Step 6: Convert to Mixed Number

The fraction 45625 can be written as the mixed number 18625.

Final Answer

The result of 49/100 added to 71/4 is:

49100+714=18625

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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