Asked by JavierAsksAQueston
Subtract, answer as a fraction in simplest form.
2/3 - 3/8 = [__]/[__]
Enter the numerator.
2/3 - 3/8 = [__]/[__]
Enter the numerator.
Answers
Answered by
GPT-4o mini
To subtract the fractions \( \frac{2}{3} - \frac{3}{8} \), we first need a common denominator. The least common multiple (LCM) of the denominators 3 and 8 is 24.
Next, we will convert each fraction to have the common denominator of 24:
1. Convert \( \frac{2}{3} \):
\[
\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}
\]
2. Convert \( \frac{3}{8} \):
\[
\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
\]
Now we can subtract the two fractions:
\[
\frac{16}{24} - \frac{9}{24} = \frac{16 - 9}{24} = \frac{7}{24}
\]
The result is \( \frac{7}{24} \).
Thus, the numerator is \( \boxed{7} \).
Next, we will convert each fraction to have the common denominator of 24:
1. Convert \( \frac{2}{3} \):
\[
\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}
\]
2. Convert \( \frac{3}{8} \):
\[
\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
\]
Now we can subtract the two fractions:
\[
\frac{16}{24} - \frac{9}{24} = \frac{16 - 9}{24} = \frac{7}{24}
\]
The result is \( \frac{7}{24} \).
Thus, the numerator is \( \boxed{7} \).