14/49 added to 14/4 in Fraction Form

The result of 14/49 added to 14/4 is: 3 11/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1449 and 144.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 4 is 196.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1449 to 56196
Convert 144 to 686196

Step 4: Add the Numerators

Add the numerators: 56 + 686 = 742

Step 5: Simplify the Fraction

We can simplify 742196 to its lowest form.
The greatest common divisor (GCD) of 742 and 196 is 14.
Dividing both numerator and denominator by the GCD, we get 5314.

Step 6: Convert to Mixed Number

The fraction 5314 can be written as the mixed number 31114.

Final Answer

The result of 14/49 added to 14/4 is:

1449+144=31114

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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