Question

question 10: write a symbol (<, >, or =) to compare each pair of numbers/ratios.
a) $\frac{1}{4}$ 0.3
c) 0.401 0.5
e) $\frac{6}{10}$ $\frac{16}{20}$
b) 20% $\frac{1}{3}$
d) 65% 0.65
f) 0.27 28%

Explanation:

Part (a)

Step1: Convert fraction to decimal

$\frac{1}{4} = 0.25$

Step2: Compare decimals

$0.25 < 0.3$

Step1: Convert percentage and fraction to decimals

$20\% = 0.2$, $\frac{1}{3} \approx 0.333\cdots$

Step2: Compare decimals

$0.2 < 0.333\cdots$

Step1: Analyze decimal place values

$0.401$ has 4 tenths, $0.5$ has 5 tenths.

Step2: Compare decimals

$0.401 < 0.5$

Answer:

$\frac{1}{4} < 0.3$

Part (b)