Question

parent results not recorded. continue practising or switch user. which is the most accurate way to estimate 68% of 35? \\(\frac{1}{4} \times 36\\) \\(\frac{2}{3} \times 36\\) \\(\frac{3}{4} \times 36\\) \\(\frac{1}{2} \times 36\\)

Explanation:

Step1: Approximate percentage and number

Approximate \(68\%\) to \(\frac{2}{3}\) (since \(\frac{2}{3}\approx0.667\) and \(68\% = 0.68\)), and approximate \(35\) to \(36\).

Step2: Calculate the product

The expression for the approximation is \(\frac{2}{3}\times36\). Using the rule of fraction - integer multiplication \(a\times\frac{b}{c}=\frac{a\times b}{c}\), we have \(\frac{2\times36}{3}=2\times12 = 24\).
The exact value of \(68\%\) of \(35\) is \(0.68\times35=(0.7 - 0.02)\times35=0.7\times35-0.02\times35=24.5 - 0.7=23.8\).

Answer:

\(\frac{2}{3}\times36\)