10/3 added to 47/3 in Fraction Form

The result of 10/3 added to 47/3 is: 19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{0} 3$ and $\frac{4}{7} 3$ .

Step 2: Add the Numerators (Same Denominator)

Since the denominators are the same, we can directly add the numerators: 10 + 47 = 57

Step 3: Simplify the Fraction

We can simplify $\frac{5}{7} 3$ to its lowest form.
The greatest common divisor (GCD) of 57 and 3 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{9} 1$ .

Final Answer

The result of 10/3 added to 47/3 is:

\frac{10}{3} + \frac{47}{3} = 19

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (when denominators are different)

Or simply $\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}$ (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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