83/151 added to 70/4 in Fraction Form

The result of 83/151 added to 70/4 is: 18 15/302

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83151 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 4 is 604.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83151 to 332604
Convert 704 to 10570604

Step 4: Add the Numerators

Add the numerators: 332 + 10570 = 10902

Step 5: Simplify the Fraction

We can simplify 10902604 to its lowest form.
The greatest common divisor (GCD) of 10902 and 604 is 2.
Dividing both numerator and denominator by the GCD, we get 5451302.

Step 6: Convert to Mixed Number

The fraction 5451302 can be written as the mixed number 1815302.

Final Answer

The result of 83/151 added to 70/4 is:

83151+704=1815302

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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