Solve.

Start fraction 7 over 12 end fraction minus start fraction 3 over 8 end fraction equals
(1 point)
Responses

1
1

1 over 2
Image with alt text: 1 over 2

Start fraction 23 over 24 end fraction
Image with alt text: Start fraction 23 over 24 end fraction

Start fraction 5 over 24 end fraction

1 answer

To solve the problem \(\frac{7}{12} - \frac{3}{8}\), we need to find a common denominator. The denominators here are 12 and 8.

The least common multiple (LCM) of 12 and 8 is 24.

Next, we convert both fractions to have a denominator of 24:

  1. For \(\frac{7}{12}\): \[ \frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24} \]

  2. For \(\frac{3}{8}\): \[ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \]

Now we can subtract these two fractions: \[ \frac{14}{24} - \frac{9}{24} = \frac{14 - 9}{24} = \frac{5}{24} \]

Thus, the answer is \(\frac{5}{24}\).

So the correct response is:

  • Start fraction 5 over 24 end fraction.
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