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Give your answer as a fraction in its simplest form. (3)/(8)+(1)/(16)=(square )/(16)+(square )/(16) =(square )/(square )

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Give your answer as a fraction in its simplest form.
(3)/(8)+(1)/(16)=(square )/(16)+(square )/(16)
=(square )/(square )

Give your answer as a fraction in its simplest form. (3)/(8)+(1)/(16)=(square )/(16)+(square )/(16) =(square )/(square )

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JuddMaster · Tutor for 5 years

Answer

Therefore, \(\frac{3}{8}+\frac{1}{16}=\frac{7}{16}\) where \( \frac{7}{16}" is the fraction in simplest form.

Explain

## Step 1:<br />The sum consists of \(\frac{3}{8}\) and \(\frac{1}{16}\). We can only do this directly if both fractions have the same denominator. So the first step is to convert \(\frac{3}{8}\) to the form of fraction in \(\frac{\square}{16}\). This can be achieved by multiplying the numerator 3 and the denominator 8 by the same number 2. We can do this in math because the equivalent fraction can be obtained by multiplying both the numerator and the denominator by the same number. <br /><br />### \(8 \times 2 = 16\) <br /><br />### \(3 \times 2 = 6\) <br /><br />## Step 2:<br />So, we may rewrite \(\frac{3}{8}\) as \(\frac{6}{16}\), and the new sum is \(\frac{6}{16}+ \frac{1}{16}\) .<br /><br />## Step 3:<br />Now, we can add directly as<br /><br />### \(\frac{6}{16}+ \frac{1}{16} = \frac{6+1}{16} = \frac{7}{16}\).
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