Estimate percents of numbers

Key notes:

A compatible number is a nearby number that is easy to multiply by a fraction.

Learn with an example

🔔 Which is the most accurate way to estimate 66% of 41?

The most accurate way to estimate 66% of 41 is  2/3 x 42  Here is why:

Replace 66% with the nearest common fraction.

Replace 41 with a number that is compatible with 3.

The most accurate way to estimate 66% of 41 is to multiply 2/3 x 42

Compare your estimate to the exact answer:

Estimate: 66% of 41 ≈ 2/3 x 42 =28

Exact answer: 66% of 41 = 0.66 × 41 = 27.06

🔔 Which is the most accurate way to estimate 75% of 45?

The most accurate way to estimate 75% of 45 is  3/4 x 44 .  Here is why:

Replace 75% with a fraction.

Replace 45 with a number that is compatible with 4.

The most accurate way to estimate 75% of 45 is to multiply 3/4 x 44 .

Compare your estimate to the exact answer:

Estimate: 75% of 45 ≈ 3/4 x 44 =33

Exact answer: 75% of 45 = 0.75 × 45 = 33.75

🔔 Which is the most accurate way to estimate 35% of 53?

The most accurate way to estimate 35% of 53 is  1/3 x 54  Here is why:

Replace 35% with the nearest common fraction.

Replace 53 with a number that is compatible with 3.

The most accurate way to estimate 35% of 53 is to multiply  1/3 x 54

Compare your estimate to the exact answer:

Estimate: 35% of 53 ≈ 1/3 x 54 =18

Exact answer: 35% of 53 = 0.35 × 53 = 18.55

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