7/154 added to 99/6 in Fraction Form

The result of 7/154 added to 99/6 is: 16 6/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7154 and 996.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 6 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7154 to 21462
Convert 996 to 7623462

Step 4: Add the Numerators

Add the numerators: 21 + 7623 = 7644

Step 5: Simplify the Fraction

We can simplify 7644462 to its lowest form.
The greatest common divisor (GCD) of 7644 and 462 is 42.
Dividing both numerator and denominator by the GCD, we get 18211.

Step 6: Convert to Mixed Number

The fraction 18211 can be written as the mixed number 16611.

Final Answer

The result of 7/154 added to 99/6 is:

7154+996=16611

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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