Decimal and Fraction Level - 3
Q1–10 of 50The value of the complex ratio $\frac{(0.5000)(0.3333)(0.2500)}{(0.1667)(0.1250)(0.5000)}$ is highly approximated to:
Map each decimal to its fraction: numerator becomes 1/2, 1/3, 1/4;
denominator becomes 1/6, 1/8, 1/2.
Numerator product: (1/2)(1/3)(1/4) = 1/24
Denominator product: (1/6)(1/8)(1/2) = 1/96
Divide: (1/24) x (96/1) = 96/24 = 4.00
Answer: B (4.00)
The value of the complex ratio $\frac{(0.6667)(0.7500)(0.2000)}{(0.5000)(0.4000)(0.2500)}$ is highly approximated to:
Solution:
Numerator fractions: 2/3, 3/4, 1/5.
Denominator fractions: 1/2, 2/5, 1/4.
Numerator product: (2/3)(3/4)(1/5) = 6/60 = 1/10
Denominator product: (1/2)(2/5)(1/4) = 2/40 = 1/20
Divide: (1/10) x (20/1) = 20/10 = 2.00
Answer: B (2.00)
The value of the complex ratio $\frac{(0.8333)(0.5000)(0.6000)}{(0.3333)(0.2500)(0.6250)}$ is highly approximated to:
Numerator fractions: 5/6, 1/2, 3/5.
Denominator fractions: 1/3, 1/4, 5/8.
Numerator product: (5/6)(1/2)(3/5) = 15/60 = 1/4
Denominator product: (1/3)(1/4)(5/8) = 5/96
Divide: (1/4) x (96/5) = 96/20 = 24/5 = 4.80
Answer: C (4.80)
The value of the complex ratio $\frac{(0.3750)(0.8000)(0.1667)}{(0.2500)(0.2000)(0.7500)}$ is highly approximated to:
Numerator fractions: 7/8, 2/3, 1/7.
Denominator fractions: 1/6, 3/4, 1/3.
Numerator product: (7/8)(2/3)(1/7) = 14/168 = 1/12
Denominator product: (1/6)(3/4)(1/3) = 3/72 = 1/24
Divide: (1/12) x (24/1) = 24/12 = 2.00
Answer: B (2.00)
The value of the complex ratio $\frac{(0.3750)(0.8000)(0.1667)}{(0.2500)(0.2000)(0.7500)}$ is highly approximated to:
Numerator fractions: 3/8, 4/5, 1/6.
Denominator fractions: 1/4, 1/5, 3/4.
Numerator product: (3/8)(4/5)(1/6) = 12/240 = 1/20
Denominator product: (1/4)(1/5)(3/4) = 3/80
Divide: (1/20) x (80/3) = 80/60 = 4/3 = 1.33
Answer: B (1.33)
The value of the complex ratio $\frac{(0.4444)(0.5000)(0.7500)}{(0.3333)(0.1667)(0.5000)}$ is highly approximated to:
Numerator fractions: 4/9, 1/2, 3/4.
Denominator fractions: 1/3, 1/6, 1/2.
Numerator product: (4/9)(1/2)(3/4) = 12/72 = 1/6
Denominator product: (1/3)(1/6)(1/2) = 1/36
Divide: (1/6) x (36/1) = 36/6 = 6.00
Answer: C (6.00)
The value of the complex ratio $\frac{(0.6250)(0.8000)(0.3333)}{(0.2500)(0.3333)(0.8333)}$ is highly approximated to:
Numerator fractions: 5/8, 4/5, 1/3.
Denominator fractions: 1/4, 1/3, 5/6.
Numerator product: (5/8)(4/5)(1/3) = 20/120 = 1/6
Denominator product: (1/4)(1/3)(5/6) = 5/72
Divide: (1/6) x (72/5) = 72/30 = 12/5 = 2.40
Answer: B (2.40)
The value of the complex ratio $\frac{(0.4000)(0.8333)(0.7500)}{(0.1250)(0.6667)(0.6000)}$ is highly approximated to:
Numerator fractions: 2/5, 5/6, 3/4.
Denominator fractions: 1/8, 2/3, 3/5.
Numerator product: (2/5)(5/6)(3/4) = 30/120 = 1/4
Denominator product: (1/8)(2/3)(3/5) = 6/120 = 1/20
Divide: (1/4) x (20/1) = 20/4 = 5.00
Answer: B (5.00)
The value of the complex ratio $\frac{(0.3333)(0.3750)(0.8000)}{(0.2000)(0.2500)(0.1667)}$ is highly approximated to:
Numerator fractions: 1/3, 3/8, 4/5.
Denominator fractions: 1/5, 1/4, 1/6.
Numerator product: (1/3)(3/8)(4/5) = 12/120 = 1/10
Denominator product: (1/5)(1/4)(1/6) = 1/120
Divide: (1/10) x (120/1) = 120/10 = 12.00
Answer: C (12.00)
Q10. The value of the complex ratio $\frac{(0.7777)(0.4285)(0.5000)}{(0.1667)(0.6667)(0.2500)}$ is highly approximated to:
Numerator fractions: 7/9, 3/7, 1/2.
Denominator fractions: 1/6, 2/3, 1/4.
Numerator product: (7/9)(3/7)(1/2) = 21/126 = 1/6
Denominator product: (1/6)(2/3)(1/4) = 2/72 = 1/36
Divide: (1/6) x (36/1) = 36/6 = 6.00
Answer: B (6.00)