Question

The product of two numbers is $25\frac{5}{6}.$ If one among them is $6\frac{2}{3},$ then other number is equal to

• A. $2\frac{7}{8}$
• B. $3\frac{7}{8}$
• C. $4\frac{7}{15}$
• D. $2\frac{7}{18}$

Answer 1

The correct option is B $3\frac{7}{8}$

Given, product of two numbers $=25\frac{5}{6}=\frac{155}{6}$
First number is $=6\frac{2}{3}=\frac{20}{3}$
Let the second number is $x$
According to statement,
$\frac{20}{3}\times x=\frac{155}{6}\Rightarrow x=\frac{155}{6}÷\frac{20}{3}=\frac{155}{6}\times \left(\text{reciprocal of}\frac{20}{3}\right)=\frac{155}{6}\times \frac{3}{20}=\frac{155\times 3}{6\times 20}=\frac{31}{8}=3\frac{7}{8}$