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

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UpStudy AI · Accepted Answer

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. $$ 6:5 $$**.
Option c, $$ 6:5 $$, is not equivalent to $$ \frac{10}{12} $$.

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

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