5/16 added to 34/3 in Fraction Form
The result of 5/16 added to 34/3 is: 11 31/48
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac516\) and \(\frac343\).
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need a common denominator. The LCM of 16 and 3 is 48.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac516\) to \(\frac{15}48\)
Convert \(\frac343\) to \(\frac{544}48\)
Step 4: Add the Numerators
Add the numerators: 15 + 544 = 559
Step 5: Convert to Mixed Number
The fraction \(\frac55948\) can be written as the mixed number \(11\frac3148\).
Final Answer
The result of 5/16 added to 34/3 is:
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).
Fraction Calculator
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