15/57 added to 168/4 in Fraction Form

The result of 15/57 added to 168/4 is: 42 5/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1557 and 1684.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1557 to 60228
Convert 1684 to 9576228

Step 4: Add the Numerators

Add the numerators: 60 + 9576 = 9636

Step 5: Simplify the Fraction

We can simplify 9636228 to its lowest form.
The greatest common divisor (GCD) of 9636 and 228 is 12.
Dividing both numerator and denominator by the GCD, we get 80319.

Step 6: Convert to Mixed Number

The fraction 80319 can be written as the mixed number 42519.

Final Answer

The result of 15/57 added to 168/4 is:

1557+1684=42519

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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