Checking Reasonableness of Fraction Sums II
Interactive practice questions
Hermione is working on a problem and has to calculate $\frac{1}{24}+\frac{8}{33}$124+833. She says the answer is about $\frac{1}{4}$14. Let’s see if her estimate is reasonable.
Let’s look at $\frac{1}{24}$124. Which value below is the best estimate of $\frac{1}{24}$124?
$0$0
$\frac{1}{2}$12
$2$2
$1$1
Now let’s look at $\frac{8}{33}$833. Which value below is the best estimate of $\frac{8}{33}$833?
$4$4
$\frac{1}{4}$14
$0$0
$1$1
We can rewrite the fraction sum using the rounded values.
Calculate the fraction sum $0+\frac{1}{4}$0+14.
Is Hermione's estimate reasonable?
No
Yes
David is working on a problem and has to calculate $\frac{1}{25}+\frac{24}{33}$125+2433. He says the answer is about $\frac{3}{4}$34. Let’s see if his estimate is reasonable.
Roald is working on a problem and has to calculate $\frac{12}{25}+\frac{16}{65}$1225+1665. He says the answer is about $\frac{3}{4}$34. Let’s see if his estimate is reasonable.
Jenny is working on a problem and has to calculate $\frac{19}{39}+\frac{33}{45}$1939+3345. She says the answer is about $\frac{5}{4}$54. Let’s see if her estimate is reasonable.