49/7 added to 170/3 in Fraction Form

The result of 49/7 added to 170/3 is: 63 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 497 and 1703.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 497 to 14721
Convert 1703 to 119021

Step 4: Add the Numerators

Add the numerators: 147 + 1190 = 1337

Step 5: Simplify the Fraction

We can simplify 133721 to its lowest form.
The greatest common divisor (GCD) of 1337 and 21 is 7.
Dividing both numerator and denominator by the GCD, we get 1913.

Step 6: Convert to Mixed Number

The fraction 1913 can be written as the mixed number 6323.

Final Answer

The result of 49/7 added to 170/3 is:

497+1703=6323

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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