42/148 added to 69/2 in Fraction Form

The result of 42/148 added to 69/2 is: 34 29/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42148 and 692.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 2 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42148 to 42148
Convert 692 to 5106148

Step 4: Add the Numerators

Add the numerators: 42 + 5106 = 5148

Step 5: Simplify the Fraction

We can simplify 5148148 to its lowest form.
The greatest common divisor (GCD) of 5148 and 148 is 4.
Dividing both numerator and denominator by the GCD, we get 128737.

Step 6: Convert to Mixed Number

The fraction 128737 can be written as the mixed number 342937.

Final Answer

The result of 42/148 added to 69/2 is:

42148+692=342937

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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