Question

question 3 of 8
what is the value of (\frac{3}{4} + \frac{5}{8})?
(\bigcirc) (2\frac{1}{4})
(\bigcirc) (1\frac{3}{8})
(\bigcirc) (1\frac{7}{8})
(\bigcirc) (1\frac{1}{2})

Explanation:

Step1: Convert to common denominator

To add \(\frac{3}{4}\) and \(\frac{5}{8}\), we need a common denominator. The least common denominator of 4 and 8 is 8. So we convert \(\frac{3}{4}\) to eighths: \(\frac{3}{4}=\frac{3\times2}{4\times2}=\frac{6}{8}\)

Step2: Add the fractions

Now we add \(\frac{6}{8}\) and \(\frac{5}{8}\): \(\frac{6}{8}+\frac{5}{8}=\frac{6 + 5}{8}=\frac{11}{8}\)

Step3: Convert improper fraction to mixed number

\(\frac{11}{8}\) as a mixed number is \(1\frac{3}{8}\)? Wait, no, wait. Wait, maybe I made a mistake. Wait, no, wait the original problem? Wait, no, wait the problem is \(\frac{3}{4}+\frac{5}{8}\)? Wait, no, the user's problem is \(\frac{3}{4}+\frac{5}{8}\)? Wait, no, looking at the image, it's \( \frac{3}{4} + \frac{5}{8} \)? Wait, no, the options include \(1\frac{7}{8}\). Wait, maybe I miscalculated. Let's do it again.

Wait, \(\frac{3}{4}\) is equal to \(\frac{6}{8}\), then \(\frac{6}{8}+\frac{5}{8}=\frac{11}{8}\), which is \(1\frac{3}{8}\)? But that's one of the options. Wait, but let's check again. Wait, maybe the problem is \( \frac{3}{4} + \frac{5}{8} \). Wait, \(\frac{3}{4}\) is 0.75, \(\frac{5}{8}\) is 0.625, sum is 1.375, which is \(1\frac{3}{8}\) (since 0.375 is \(\frac{3}{8}\)). Wait, but the option \(1\frac{7}{8}\) is 1.875. Wait, maybe I misread the problem. Wait, the problem is \(\frac{3}{4}+\frac{5}{8}\)? Wait, no, maybe it's \( \frac{3}{4} + \frac{5}{8} \). Wait, let's check the options. The options are \(2\frac{1}{4}\), \(1\frac{3}{8}\), \(1\frac{7}{8}\), \(1\frac{1}{2}\). Wait, maybe I made a mistake in the conversion. Wait, no, \(\frac{3}{4}\) is \(\frac{6}{8}\), plus \(\frac{5}{8}\) is \(\frac{11}{8}\), which is \(1\frac{3}{8}\). So that's the answer.

Wait, but let's confirm. \(\frac{3}{4} = 0.75\), \(\frac{5}{8}=0.625\), sum is 1.375. \(1\frac{3}{8}=1.375\), \(1\frac{7}{8}=1.875\), \(2\frac{1}{4}=2.25\), \(1\frac{1}{2}=1.5\). So the correct answer is \(1\frac{3}{8}\).

Answer:

\(1\frac{3}{8}\) (corresponding to the option with \(1\frac{3}{8}\))