33/70 added to 166/4 in Fraction Form

The result of 33/70 added to 166/4 is: 41 34/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3370 and 1664.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 4 is 140.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3370 to 66140
Convert 1664 to 5810140

Step 4: Add the Numerators

Add the numerators: 66 + 5810 = 5876

Step 5: Simplify the Fraction

We can simplify 5876140 to its lowest form.
The greatest common divisor (GCD) of 5876 and 140 is 4.
Dividing both numerator and denominator by the GCD, we get 146935.

Step 6: Convert to Mixed Number

The fraction 146935 can be written as the mixed number 413435.

Final Answer

The result of 33/70 added to 166/4 is:

3370+1664=413435

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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