28/70 added to 184/3 in Fraction Form

The result of 28/70 added to 184/3 is: 61 11/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2870 and 1843.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 3 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2870 to 84210
Convert 1843 to 12880210

Step 4: Add the Numerators

Add the numerators: 84 + 12880 = 12964

Step 5: Simplify the Fraction

We can simplify 12964210 to its lowest form.
The greatest common divisor (GCD) of 12964 and 210 is 14.
Dividing both numerator and denominator by the GCD, we get 92615.

Step 6: Convert to Mixed Number

The fraction 92615 can be written as the mixed number 611115.

Final Answer

The result of 28/70 added to 184/3 is:

2870+1843=611115

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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