\(3\frac{1}{7} \div (-3)\) is equal to :
\(-\frac{22}{21}\)
The mixed number \(3\frac{1}{7}\) can be written as an improper fraction: \(3\frac{1}{7} = \frac{(3 \times 7) + 1}{7} = \frac{22}{7}\).
Dividing by \(-3\) means multiplying by its reciprocal, \(-\frac{1}{3}\): \(\frac{22}{7} \div (-3) = \frac{22}{7} \times \left(-\frac{1}{3}\right)\).
Multiplying the numerators together and the denominators together gives \(-\frac{22}{21}\).
Hence, \(3\frac{1}{7} \div (-3)\) is equal to \(-\frac{22}{21}\).
Similar Questions
A square is divided into 9 equal squares, out of which 5 squares are shaded. If the shaded portion is expressed in the form of a fraction whose numerator is 25, what will be its denominator ?
Important Questions from Fractions
Simplify the expression 441 ÷ \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)
Number 0.232323 can be written in rational form as:
Solve: \(\frac{1}{2}\) [{-2(2 + 3)*20}/2]
Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
\(\frac{21}{36}\)
d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
Among the fractions \(\frac{7}{12}\) , \(\frac{8}{15}\) , \(\frac{17}{24}\) and \(\frac{13}{18}\) , which is the smallest?
