Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The result is \( \frac{19}{30} \) or \( 0.6\dot{3} \).
Solution
Calculate or simplify the expression \( 12/15-1/6 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{12}{15}-\frac{1}{6}\)
- step1: Reduce the fraction:
\(\frac{4}{5}-\frac{1}{6}\)
- step2: Reduce fractions to a common denominator:
\(\frac{4\times 6}{5\times 6}-\frac{5}{6\times 5}\)
- step3: Multiply the numbers:
\(\frac{4\times 6}{30}-\frac{5}{6\times 5}\)
- step4: Multiply the numbers:
\(\frac{4\times 6}{30}-\frac{5}{30}\)
- step5: Transform the expression:
\(\frac{4\times 6-5}{30}\)
- step6: Multiply the numbers:
\(\frac{24-5}{30}\)
- step7: Subtract the numbers:
\(\frac{19}{30}\)
The result of \( \frac{12}{15}-\frac{1}{6} \) is \( \frac{19}{30} \) or \( 0.6\dot{3} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve \( \frac{12}{15} - \frac{1}{6} \), we first need a common denominator. The least common multiple of 15 and 6 is 30. Now, convert both fractions: \( \frac{12}{15} = \frac{12 \times 2}{15 \times 2} = \frac{24}{30} \) \( \frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30} \) Now we can subtract: \( \frac{24}{30} - \frac{5}{30} = \frac{24 - 5}{30} = \frac{19}{30} \) So, \( \frac{12}{15} - \frac{1}{6} = \frac{19}{30} \).
