159/70 added to 78/4 in Fraction Form

The result of 159/70 added to 78/4 is: 21 27/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15970 and 784.

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 15970 to 318140
Convert 784 to 2730140

Step 4: Add the Numerators

Add the numerators: 318 + 2730 = 3048

Step 5: Simplify the Fraction

We can simplify 3048140 to its lowest form.
The greatest common divisor (GCD) of 3048 and 140 is 4.
Dividing both numerator and denominator by the GCD, we get 76235.

Step 6: Convert to Mixed Number

The fraction 76235 can be written as the mixed number 212735.

Final Answer

The result of 159/70 added to 78/4 is:

15970+784=212735

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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