81/148 added to 69/4 in Fraction Form

The result of 81/148 added to 69/4 is: 17 59/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81148 and 694.

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 81148 to 81148
Convert 694 to 2553148

Step 4: Add the Numerators

Add the numerators: 81 + 2553 = 2634

Step 5: Simplify the Fraction

We can simplify 2634148 to its lowest form.
The greatest common divisor (GCD) of 2634 and 148 is 2.
Dividing both numerator and denominator by the GCD, we get 131774.

Step 6: Convert to Mixed Number

The fraction 131774 can be written as the mixed number 175974.

Final Answer

The result of 81/148 added to 69/4 is:

81148+694=175974

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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