Joseph Hobbs
06/05/2023 · Primary School
Simplify the following fraction: \( \frac{12}{70} \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify the fraction \( \frac{12}{70} \), we need to find the greatest common divisor (GCD) of the numerator (12) and the denominator (70).
First, we can find the prime factorization of both numbers:
- The prime factorization of 12 is:
\[
12 = 2^2 \times 3
\]
- The prime factorization of 70 is:
\[
70 = 2 \times 5 \times 7
\]
Next, we identify the common factors. The only common prime factor between 12 and 70 is 2.
Now, we divide both the numerator and the denominator by their GCD, which is 2:
\[
\frac{12 \div 2}{70 \div 2} = \frac{6}{35}
\]
Thus, the simplified form of the fraction \( \frac{12}{70} \) is:
\[
\boxed{\frac{6}{35}}
\]
Quick Answer
The simplified form of \( \frac{12}{70} \) is \( \frac{6}{35} \).
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