14/47 added to 92/4 in Fraction Form

The result of 14/47 added to 92/4 is: 23 14/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1447 and 924.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 4 is 188.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1447 to 56188
Convert 924 to 4324188

Step 4: Add the Numerators

Add the numerators: 56 + 4324 = 4380

Step 5: Simplify the Fraction

We can simplify 4380188 to its lowest form.
The greatest common divisor (GCD) of 4380 and 188 is 4.
Dividing both numerator and denominator by the GCD, we get 109547.

Step 6: Convert to Mixed Number

The fraction 109547 can be written as the mixed number 231447.

Final Answer

The result of 14/47 added to 92/4 is:

1447+924=231447

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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