IXL | Determine whether the sum or difference of two fractions is reasonable

Mason estimates that the sum of

and

is close to the benchmark

Is Mason's estimate reasonable?

Yes.

No, it is too high.

No, it is too low.

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Learn with an example

question

Pam estimates that the sum of

and

is close to the benchmark 1.

Is Pam's estimate reasonable?

Yes.

No, it is too high.

No, it is too low.

key idea

The benchmark fractions 0,

and 1 are useful for estimating sums and differences. You can also use them to check whether an answer seems reasonable.

solution

These fraction strips show that

is less than the benchmark

These fraction strips show that

is less than the benchmark

is less than

and

is less than

So, their sum is less than

However, Pam's estimate of 1 is not less than

It is greater than

So, Pam's estimate is too high.

You can also find the sum to see that Pam's estimate is too high. These fraction strips show that

These fraction strips show that Pam's estimate, 1, is much greater than

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
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Time
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SmartScore
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Teacher tools

Work it out

Not feeling ready yet? These can help:

T.1Add fractions with like denominators

T.2Subtract fractions with like denominators

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