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
C 
(7)/(4)

Which of the following numbers are less than or equal to 1.751.75?\newlineChoose all answers that apply:\newlineA 14111\frac{4}{11}\newlineB 1.61.6\newlineC 74\frac{7}{4}

Full solution

Q. Which of the following numbers are less than or equal to 1.751.75?\newlineChoose all answers that apply:\newlineA 14111\frac{4}{11}\newlineB 1.61.6\newlineC 74\frac{7}{4}
  1. Convert to Improper Fraction: Convert the mixed number A(1411)A (1 \frac{4}{11}) to an improper fraction to compare it with 1.751.75. The mixed number 14111 \frac{4}{11} can be converted by multiplying the whole number part by the denominator of the fraction part and then adding the numerator. This gives us 1×11+4=11+4=151 \times 11 + 4 = 11 + 4 = 15, so the improper fraction is 1511\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. To convert 1511\frac{15}{11} to a decimal, divide 1515 by 1111. This gives us approximately 1.36361.3636.
  3. Compare with 1.751.75: Compare the decimal 1.36361.3636 to 1.751.75 to determine if 14111 \frac{4}{11} (which is 1.36361.3636 as a decimal) is less than or equal to 1.751.75. Since 1.36361.3636 is less than 1.751.75, the answer for option A is that it is less than 1.751.75.
  4. Compare with 1.751.75: Compare the decimal 1.61.6 to 1.751.75 to determine if 1.61.6 is less than or equal to 1.751.75. Since 1.61.6 is less than 1.751.75, the answer for option B is that it is less than 1.751.75.
  5. Convert to Decimal: Convert the fraction C(74)C (\frac{7}{4}) to a decimal to compare it with 1.751.75. To convert 74\frac{7}{4} to a decimal, divide 77 by 44. This gives us 1.751.75.
  6. Compare with 1.751.75: Compare the decimal 1.751.75 to 1.751.75 to determine if 74\frac{7}{4} (which is 1.751.75 as a decimal) is less than or equal to 1.751.75. Since 1.751.75 is equal to 1.751.75, the answer for option C is that it is equal to 1.751.75.

More problems from Does (x, y) satisfy the inequality?