Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following numbers are less than or equal to 1.75 ?
Choose all answers that apply:
A 
1(4)/(11)
B 1.6
다 
(7)/(4)

Which of the following numbers are less than or equal to 11.7575 ?\newlineChoose all answers that apply:\newline(A) 1411 1 \frac{4}{11} \newline(B) 11.66\newline(C) 74 \frac{7}{4}

Full solution

Q. Which of the following numbers are less than or equal to 11.7575 ?\newlineChoose all answers that apply:\newline(A) 1411 1 \frac{4}{11} \newline(B) 11.66\newline(C) 74 \frac{7}{4}
  1. Convert to Improper Fraction: Convert the mixed number 1(411)1\left(\frac{4}{11}\right) to an improper fraction to compare it with 1.751.75.1(411)=(11×1+4)11=15111\left(\frac{4}{11}\right) = \frac{(11\times1 + 4)}{11} = \frac{15}{11}
  2. Convert to Decimal: Convert the improper fraction 1511\frac{15}{11} to a decimal to compare it with 1.751.75.\newline15111.36\frac{15}{11} \approx 1.36 (rounded to two decimal places)
  3. Compare with 1.751.75: Compare the decimal 1.361.36 to 1.751.75. Since 1.361.36 is less than 1.751.75, the number 1(411)1\left(\frac{4}{11}\right) is less than or equal to 1.751.75.
  4. Compare with 1.751.75: Compare the decimal 1.61.6 to 1.751.75. Since 1.61.6 is less than 1.751.75, the number 1.61.6 is less than or equal to 1.751.75.
  5. Convert to Decimal: Convert the fraction (74)(\frac{7}{4}) to a decimal to compare it with 1.751.75.\newline(74)=1.75(\frac{7}{4}) = 1.75
  6. Compare with 11.7575: Compare the decimal 1.751.75 to 1.751.75.\newlineSince 1.751.75 is equal to 1.751.75, the number (74)(\frac{7}{4}) is less than or equal to 1.751.75.

More problems from Domain and range