161/21 added to 19/4 in Fraction Form

The result of 161/21 added to 19/4 is: 12 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16121 and 194.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 16121 to 64484
Convert 194 to 39984

Step 4: Add the Numerators

Add the numerators: 644 + 399 = 1043

Step 5: Simplify the Fraction

We can simplify 104384 to its lowest form.
The greatest common divisor (GCD) of 1043 and 84 is 7.
Dividing both numerator and denominator by the GCD, we get 14912.

Step 6: Convert to Mixed Number

The fraction 14912 can be written as the mixed number 12512.

Final Answer

The result of 161/21 added to 19/4 is:

16121+194=12512

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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