118/148 added to 6/4 in Fraction Form

The result of 118/148 added to 6/4 is: 2 11/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118148 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118148 to 118148
Convert 64 to 222148

Step 4: Add the Numerators

Add the numerators: 118 + 222 = 340

Step 5: Simplify the Fraction

We can simplify 340148 to its lowest form.
The greatest common divisor (GCD) of 340 and 148 is 4.
Dividing both numerator and denominator by the GCD, we get 8537.

Step 6: Convert to Mixed Number

The fraction 8537 can be written as the mixed number 21137.

Final Answer

The result of 118/148 added to 6/4 is:

118148+64=21137

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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