Question

What is 3 7/8 + 2 5/6 =​

Answer 1

Answer:

$\frac{161}{24}=6\frac{17}{24}$

Step-by-step explanation:

$3\frac{7}{8}+2\frac{5}{6}$

Convert the mixed fractions to improper fractions:

$\frac{31}{8}+\frac{17}{6}$

Find the common denominator and write equivalent fractions:

$(\frac{31}{8}\times{\frac{3}{3}})+(\frac{17}{6}\times{\frac{4}{4}})$

$\frac{93}{24}+\frac{68}{24}$

Add:

$\frac{93}{24}+\frac{68}{24}=\frac{161}{24}$

Reduce to mixed fraction:

$\frac{161}{24}=6\frac{17}{24}$

Answer 2

Answer: 6 and 17/24

Step-by-step explanation: To add mixed numbers, first add the fractions. Since 7/8 and 5/6 are unlike fractions, we need a common denominator which in this case is 24.

If we multiply 7/8 by 3 in both the numerator and denominator, we get the equivalent fraction 21/24.

If we multiply 5/6 by 4 in both the numerator and denominator, we get the equivalent fraction 20/24.

Now we can add 21/24 + 20/24 to get 41/24. Finally, we add the whole numbers which is 3 + 7 to get 10.

Since 41/24 is an improper fraction, we can change it into the mixed number which is 6 and 17/24.