NZ Level 3 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.

a

Let’s look at $\frac{1}{24}$124. Which value below is the best estimate of $\frac{1}{24}$124?

$0$0

A

$\frac{1}{2}$12

B

$2$2

C

$1$1

D

$0$0

A

$\frac{1}{2}$12

B

$2$2

C

$1$1

D
b

Now let’s look at $\frac{8}{33}$833. Which value below is the best estimate of $\frac{8}{33}$833?

$4$4

A

$\frac{1}{4}$14

B

$0$0

C

$1$1

D

$4$4

A

$\frac{1}{4}$14

B

$0$0

C

$1$1

D
c

We can rewrite the fraction sum using the rounded values.

Calculate the fraction sum $0+\frac{1}{4}$0+14.

d

Is Hermione's estimate reasonable?

No

A

Yes

B

No

A

Yes

B
Easy
Approx a minute

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.

### Outcomes

#### NA3-1

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.