177/21 added to 96/2 in Fraction Form

The result of 177/21 added to 96/2 is: 56 3/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17721 and 962.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17721 to 35442
Convert 962 to 201642

Step 4: Add the Numerators

Add the numerators: 354 + 2016 = 2370

Step 5: Simplify the Fraction

We can simplify 237042 to its lowest form.
The greatest common divisor (GCD) of 2370 and 42 is 6.
Dividing both numerator and denominator by the GCD, we get 3957.

Step 6: Convert to Mixed Number

The fraction 3957 can be written as the mixed number 5637.

Final Answer

The result of 177/21 added to 96/2 is:

17721+962=5637

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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