207/5 added to 57/3 in Fraction Form

The result of 207/5 added to 57/3 is: 60 2/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2075 and 573.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 3 is 15.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2075 to 62115
Convert 573 to 28515

Step 4: Add the Numerators

Add the numerators: 621 + 285 = 906

Step 5: Simplify the Fraction

We can simplify 90615 to its lowest form.
The greatest common divisor (GCD) of 906 and 15 is 3.
Dividing both numerator and denominator by the GCD, we get 3025.

Step 6: Convert to Mixed Number

The fraction 3025 can be written as the mixed number 6025.

Final Answer

The result of 207/5 added to 57/3 is:

2075+573=6025

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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