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24. \\(\\frac{7}{25}\\) can be represented as a percent. select all the…

Question

  1. \\(\frac{7}{25}\\) can be represented as a percent. select all the fractions and decimals that are also equivalent to this percent. \\(\square\\) \\(\frac{25}{7}\\) \\(\square\\) 0.725 \\(\square\\) \\(\frac{21}{75}\\) \\(\square\\) 0.28 \\(\square\\) \\(\frac{56}{200}\\)

Explanation:

Step1: Convert $\frac{7}{25}$ to decimal

$\frac{7}{25} = 7 \div 25 = 0.28$

Step2: Convert $\frac{7}{25}$ to percent

$0.28 \times 100 = 28\%$

Step3: Check $\frac{25}{7}$

$\frac{25}{7} \approx 3.57
eq 0.28$

Step4: Check $0.725$

$0.725
eq 0.28$

Step5: Simplify $\frac{21}{75}$

$\frac{21 \div 3}{75 \div 3} = \frac{7}{25} = 0.28$

Step6: Check $0.28$

$0.28 = 0.28$

Step7: Simplify $\frac{56}{200}$

$\frac{56 \div 8}{200 \div 8} = \frac{7}{25} = 0.28$

Answer:

$\boldsymbol{\frac{21}{75}}$, $\boldsymbol{0.28}$, $\boldsymbol{\frac{56}{200}}$