153/66 added to 70/4 in Fraction Form

The result of 153/66 added to 70/4 is: 19 9/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15366 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 66 and 4 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15366 to 306132
Convert 704 to 2310132

Step 4: Add the Numerators

Add the numerators: 306 + 2310 = 2616

Step 5: Simplify the Fraction

We can simplify 2616132 to its lowest form.
The greatest common divisor (GCD) of 2616 and 132 is 12.
Dividing both numerator and denominator by the GCD, we get 21811.

Step 6: Convert to Mixed Number

The fraction 21811 can be written as the mixed number 19911.

Final Answer

The result of 153/66 added to 70/4 is:

15366+704=19911

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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