10/43 added to 194/4 in Fraction Form

The result of 10/43 added to 194/4 is: 48 63/86

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1043 and 1944.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 43 and 4 is 172.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1043 to 40172
Convert 1944 to 8342172

Step 4: Add the Numerators

Add the numerators: 40 + 8342 = 8382

Step 5: Simplify the Fraction

We can simplify 8382172 to its lowest form.
The greatest common divisor (GCD) of 8382 and 172 is 2.
Dividing both numerator and denominator by the GCD, we get 419186.

Step 6: Convert to Mixed Number

The fraction 419186 can be written as the mixed number 486386.

Final Answer

The result of 10/43 added to 194/4 is:

1043+1944=486386

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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