Question

parent results not recorded. continue practising or switch user. which is the most accurate way to estimate 55% of 79? \\(\frac{3}{4} \times 80\\) \\(\frac{11}{20} \times 80\\) \\(\frac{1}{3} \times 78\\) \\(\frac{3}{5} \times 80\\)

Explanation:

Step1: Convert 55% to fraction

55% can be written as $\frac{55}{100}$, which simplifies to $\frac{11}{20}$ (dividing numerator and denominator by 5: $\frac{55\div5}{100\div5}=\frac{11}{20}$).

Step2: Approximate 79

79 is close to 80, so we can approximate 79 as 80 for estimation.

Step3: Analyze each option

• Option 1: $\frac{3}{4}=0.75 = 75\%$, not 55%.
• Option 2: $\frac{11}{20}=0.55 = 55\%$, and 80 approximates 79. This matches 55% of 79.
• Option 3: $\frac{1}{3}\approx0.333 = 33.3\%$, not 55%.
• Option 4: $\frac{3}{5}=0.6 = 60\%$, not 55%.

Answer:

$\frac{11}{20} \times 80$ (the second option)