Question
write -3 \frac{14}{15}
Answers
GPT-4o mini
To write the number \(-3 \frac{14}{15}\) as an improper fraction, follow these steps:
1. Convert the whole number \(-3\) into a fraction. Since it can be expressed as \(-\frac{3}{1}\), we convert it to have a common denominator with \(\frac{14}{15}\):
\[
-3 = -\frac{3 \times 15}{1 \times 15} = -\frac{45}{15}
\]
2. Add this to \(\frac{14}{15}\):
\[
-3 \frac{14}{15} = -\frac{45}{15} + \frac{14}{15}
\]
3. Combine the fractions:
\[
-\frac{45}{15} + \frac{14}{15} = \frac{-45 + 14}{15} = \frac{-31}{15}
\]
So, \(-3 \frac{14}{15}\) can be expressed as the improper fraction \(-\frac{31}{15}\).
1. Convert the whole number \(-3\) into a fraction. Since it can be expressed as \(-\frac{3}{1}\), we convert it to have a common denominator with \(\frac{14}{15}\):
\[
-3 = -\frac{3 \times 15}{1 \times 15} = -\frac{45}{15}
\]
2. Add this to \(\frac{14}{15}\):
\[
-3 \frac{14}{15} = -\frac{45}{15} + \frac{14}{15}
\]
3. Combine the fractions:
\[
-\frac{45}{15} + \frac{14}{15} = \frac{-45 + 14}{15} = \frac{-31}{15}
\]
So, \(-3 \frac{14}{15}\) can be expressed as the improper fraction \(-\frac{31}{15}\).