17/31 added to 223/3 in Fraction Form

The result of 17/31 added to 223/3 is: 74 82/93

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac1731\) and \(\frac2233\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 31 and 3 is 93.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac1731\) to \(\frac{51}93\)
Convert \(\frac2233\) to \(\frac{6913}93\)

Step 4: Add the Numerators

Add the numerators: 51 + 6913 = 6964

Step 5: Convert to Mixed Number

The fraction \(\frac696493\) can be written as the mixed number \(74\frac8293\).

Final Answer

The result of 17/31 added to 223/3 is:

\[ \frac{17}{31} + \frac{223}{3} = 74\frac8293 \]

Understanding Fraction Addition

How to Add Fractions

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

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (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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