7. The following are equivalent to \( \frac{10}{12} \) except: a. \( 5: 6 \) b. \( 100: 120 \) c. \( 6: 5 \) d. Ratio of .1 to .12

To determine which of the options is not equivalent to \( \frac{10}{12} \), we first simplify \( \frac{10}{12} \): 1. Simplify \( \frac{10}{12} \): \[ \frac{10}{12} = \frac{5}{6} \] Now, we will check each option to see if it is equivalent to \( \frac{5}{6} \). ### Option a: \( 5:6 \) This ratio can be expressed as: \[ \frac{5}{6} \] This is equivalent to \( \frac{10}{12} \). ### Option b: \( 100:120 \) This ratio can be expressed as: \[ \frac{100}{120} \] Now, simplify \( \frac{100}{120} \): \[ \frac{100 \div 20}{120 \div 20} = \frac{5}{6} \] This is also equivalent to \( \frac{10}{12} \). ### Option c: \( 6:5 \) This ratio can be expressed as: \[ \frac{6}{5} \] This is not equivalent to \( \frac{5}{6} \). ### Option d: Ratio of 0.1 to 0.12 This ratio can be expressed as: \[ \frac{0.1}{0.12} \] To simplify, we can multiply the numerator and denominator by 100: \[ \frac{10}{12} = \frac{5}{6} \] This is equivalent to \( \frac{10}{12} \). ### Conclusion The only option that is not equivalent to \( \frac{10}{12} \) is: **c. \( 6:5 \)**.