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 ?
45
The shaded portion of the square is \(\frac{5}{9}\), since 5 out of the 9 equal squares are shaded.
To express this fraction with numerator 25, the numerator and denominator must both be multiplied by the same number: \(25 \div 5 = 5\).
Multiplying the denominator 9 by 5 gives \(9 \times 5 = 45\), so \(\frac{5}{9} = \frac{25}{45}\).
Hence, the denominator of the equivalent fraction is 45.
\(3\frac{1}{7} \div (-3)\) is equal to :
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?