# Question 45f8c

Feb 17, 2018

$6.79$

#### Explanation:

Find the upper and lower bounds of $a \mathmr{and} b$ first.

$a$ has been rounded to $2$ decimal places:

$0.01 \div 2 = 0.005$

$2.295 < a < 2.305$

$b$ has been rounded to $1$decimal place :

$0.1 \div = 0.05$

$15.65 < b < 15.75$

To find the lower bound for a division means you want the smallest possible answer.
This will come from : ("lower bound for " b)/("upper bound for " a)#

$\frac{15.65}{2.305}$

$= 6.78957 . . \rightarrow 6.79$ to 3 sf