Q. Which of the following numbers are less than or equal to 1.75?Choose all answers that apply:A 1114B 1.6C 47
Convert to Improper Fraction: Convert the mixed number A(1114) to an improper fraction to compare it with 1.75. The mixed number 1114 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=15, so the improper fraction is 1115.
Convert to Decimal: Convert the improper fraction 1115 to a decimal to compare it with 1.75. To convert 1115 to a decimal, divide 15 by 11. This gives us approximately 1.3636.
Compare with 1.75: Compare the decimal 1.3636 to 1.75 to determine if 1114 (which is 1.3636 as a decimal) is less than or equal to 1.75. Since 1.3636 is less than 1.75, the answer for option A is that it is less than 1.75.
Compare with 1.75: Compare the decimal 1.6 to 1.75 to determine if 1.6 is less than or equal to 1.75. Since 1.6 is less than 1.75, the answer for option B is that it is less than 1.75.
Convert to Decimal: Convert the fraction C(47) to a decimal to compare it with 1.75. To convert 47 to a decimal, divide 7 by 4. This gives us 1.75.
Compare with 1.75: Compare the decimal 1.75 to 1.75 to determine if 47 (which is 1.75 as a decimal) is less than or equal to 1.75. Since 1.75 is equal to 1.75, the answer for option C is that it is equal to 1.75.
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