Fractions

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

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