Answer :
To find the difference between the two fractions [tex]\( \frac{5}{6} \)[/tex] and [tex]\( \frac{14}{15} \)[/tex], you can follow these steps:
1. Convert each fraction to a decimal:
- For [tex]\( \frac{5}{6} \)[/tex], divide 5 by 6, which gives approximately 0.8333.
- For [tex]\( \frac{14}{15} \)[/tex], divide 14 by 15, which gives approximately 0.9333.
2. Subtract the two decimals:
- Take the decimal equivalent of [tex]\( \frac{5}{6} \)[/tex] which is 0.8333 and subtract the decimal equivalent of [tex]\( \frac{14}{15} \)[/tex] which is 0.9333.
- Perform the subtraction:
[tex]\[
0.8333 - 0.9333 = -0.1
\][/tex]
- The calculated result is approximately -0.1.
Therefore, the difference between the fractions [tex]\( \frac{5}{6} \)[/tex] and [tex]\( \frac{14}{15} \)[/tex] is approximately -0.1 or -0.09999999999999998 when expressed more precisely.
1. Convert each fraction to a decimal:
- For [tex]\( \frac{5}{6} \)[/tex], divide 5 by 6, which gives approximately 0.8333.
- For [tex]\( \frac{14}{15} \)[/tex], divide 14 by 15, which gives approximately 0.9333.
2. Subtract the two decimals:
- Take the decimal equivalent of [tex]\( \frac{5}{6} \)[/tex] which is 0.8333 and subtract the decimal equivalent of [tex]\( \frac{14}{15} \)[/tex] which is 0.9333.
- Perform the subtraction:
[tex]\[
0.8333 - 0.9333 = -0.1
\][/tex]
- The calculated result is approximately -0.1.
Therefore, the difference between the fractions [tex]\( \frac{5}{6} \)[/tex] and [tex]\( \frac{14}{15} \)[/tex] is approximately -0.1 or -0.09999999999999998 when expressed more precisely.