Questions: (5/12)-(1/7)=

(5/12)-(1/7)=
Transcript text: \(\frac{5}{12}-\frac{1}{7}=\)
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Solution

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Solution Steps

To solve the given problem, we need to find a common denominator for the fractions $\frac{5}{12}$ and $\frac{1}{7}$. Once we have a common denominator, we can convert both fractions to have this common denominator and then subtract the numerators.

Step 1: Find a Common Denominator

To subtract the fractions \(\frac{5}{12}\) and \(\frac{1}{7}\), we first need to find a common denominator. The least common multiple (LCM) of 12 and 7 is 84.

Step 2: Convert Fractions to Common Denominator

Convert each fraction to have the common denominator of 84: \[ \frac{5}{12} = \frac{5 \times 7}{12 \times 7} = \frac{35}{84} \] \[ \frac{1}{7} = \frac{1 \times 12}{7 \times 12} = \frac{12}{84} \]

Step 3: Subtract the Fractions

Now, subtract the numerators: \[ \frac{35}{84} - \frac{12}{84} = \frac{35 - 12}{84} = \frac{23}{84} \]

Final Answer

\[ \boxed{\frac{23}{84}} \]

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