5/185 added to 42/4 in Fraction Form

The result of 5/185 added to 42/4 is: 10 39/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5185 and 424.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5185 to 20740
Convert 424 to 7770740

Step 4: Add the Numerators

Add the numerators: 20 + 7770 = 7790

Step 5: Simplify the Fraction

We can simplify 7790740 to its lowest form.
The greatest common divisor (GCD) of 7790 and 740 is 10.
Dividing both numerator and denominator by the GCD, we get 77974.

Step 6: Convert to Mixed Number

The fraction 77974 can be written as the mixed number 103974.

Final Answer

The result of 5/185 added to 42/4 is:

5185+424=103974

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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