Question

Subtract: $2\frac{1}{58}-\frac{34}{58}-\frac{3}{58}$

• A. $\frac{40}{29}$
• B. $\frac{41}{29}$
• C. $\frac{42}{29}$

Answer 1

The correct option is A $\frac{40}{29}$

As the denominator are same for all three fraction,we can directly subtract the numerators.
$\therefore 2\frac{1}{58}-\frac{34}{58}-\frac{3}{58}$

$=\frac{(58\times 2+1)}{58}-\frac{34}{58}-\frac{3}{58}$

$=\frac{117}{58}-\frac{34}{58}-\frac{3}{58}$

=$\frac{(117-34)-3}{58}$

=$\frac{83-3}{58}=\frac{80}{58}$

We can further factorise and cancel the common factors

Greatest commom factor $=2$
$\frac{80}{58}=\frac{2\times 40}{2\times 29}=\frac{40}{29}$

Hence,
$2\frac{1}{58}-\frac{34}{58}-\frac{3}{58}=\frac{40}{29}$