Adding Fractions: 1 3/4 + 5/6
When dealing with fractions, it's essential to understand how to add them correctly. In this article, we'll explore how to add the fractions 1 3/4 and 5/6.
Converting Mixed Numbers to Improper Fractions
Before we can add the fractions, we need to convert the mixed number 1 3/4 to an improper fraction.
1 3/4 = ?
To convert a mixed number to an improper fraction, we multiply the denominator (4) by the whole number part (1), then add the numerator (3), and finally divide by the denominator (4).
1 × 4 + 3 = 7 So, 1 3/4 = 7/4
Adding the Fractions
Now that we have converted the mixed number to an improper fraction, we can add the two fractions.
7/4 + 5/6 = ?
To add fractions, we need to find the least common multiple (LCM) of the denominators, which are 4 and 6. The LCM of 4 and 6 is 12.
** Convert each fraction to have a denominator of 12:**
7/4 = 21/12 (multiply numerator and denominator by 3) 5/6 = 10/12 (multiply numerator and denominator by 2)
Now, we can add the fractions:
21/12 + 10/12 = 31/12
Simplifying the Fraction
We can simplify the fraction 31/12 by dividing both numerator and denominator by their greatest common divisor (GCD), which is 1.
31/12 = 31/12 (already in simplest form)
The Answer
The result of adding 1 3/4 and 5/6 is:
31/12
We hope this article has helped you understand how to add fractions correctly. Remember to always convert mixed numbers to improper fractions and find the least common multiple of the denominators before adding fractions.
