Solve.

Question

Start fraction 7 over 10 end fraction minus start fraction 2 over 3 end fraction equals
(1 point)
Responses

Start fraction 1 over 30 end fraction
Image with alt text: Start fraction 1 over 30 end fraction

Start fraction 9 over 13 end fraction
Image with alt text: Start fraction 9 over 13 end fraction

Start fraction 5 over 7 end fraction
Image with alt text: Start fraction 5 over 7 end fraction

Start fraction 41 over 30 end fraction

Answer 1

To solve the equation

\[ \frac{7}{10} - \frac{2}{3}, \]

we need to find a common denominator. The least common multiple of 10 and 3 is 30.

Next, we convert each fraction to have this common denominator:

1. For \(\frac{7}{10}\): \[ \frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}. \]

2. For \(\frac{2}{3}\): \[ \frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30}. \]

Now, we can subtract the two fractions:

\[ \frac{21}{30} - \frac{20}{30} = \frac{21 - 20}{30} = \frac{1}{30}. \]

Therefore, the answer is

\[ \frac{1}{30}. \]

This matches the first response option.