Question

Which fraction equals \dfrac{4}{7} + \dfrac{3}{8}

7
4
​
+
8
3
​
?

Answer 1

`$(53)/(56)`

Explanation:

Hello!

Let's first convert the denominator of each fraction to the same number. Multiply the denominator by the whole number formed by the other number's denominator.

• 
  `(4)/(7) + (3)/(8)`
• 
  `(4)/(7)(\frac88) + \frac38(\frac77)`
• 
  `(32)/(56) + (21)/(56)`

Now we can add the numerators of the fractions and keep the denominators the same.

• 
  `(32)/(56) + (21)/(56)`
• 
  `(32 + 21)/(56)`
• 
  `(53)/(56)`

The simplified form is
`$(53)/(56)`.