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QUESTION IMAGE

5/12 and 3/5

Question

5/12 and 3/5

Explanation:

Response

Assuming the problem is to compare or find a common operation (like addition, multiplication, etc.) between $\frac{5}{12}$ and $\frac{3}{5}$, let's take finding a common denominator (for comparison or addition) as an example.

Step1: Find LCM of denominators

Denominators are 12 and 5. Prime factors: 12 = 2²×3, 5 = 5. LCM(12,5) = 2²×3×5 = 60.

Step2: Convert fractions

For $\frac{5}{12}$: $\frac{5×5}{12×5} = \frac{25}{60}$
For $\frac{3}{5}$: $\frac{3×12}{5×12} = \frac{36}{60}$

If the problem was multiplication:

Step1: Multiply numerators and denominators

$\frac{5}{12} × \frac{3}{5} = \frac{5×3}{12×5}$

Step2: Simplify

Cancel common factors (5): $\frac{3}{12} = \frac{1}{4}$

Since the original problem's exact task isn't clear (from the image: "5/12 and 3/5" – maybe compare, add, multiply, etc.), if we assume comparison:

After converting to common denominator (60) as above:
$\frac{25}{60} < \frac{36}{60}$ so $\frac{5}{12} < \frac{3}{5}$

If we assume addition:
$\frac{25}{60} + \frac{36}{60} = \frac{61}{60} = 1\frac{1}{60}$

If we assume multiplication, the result is $\frac{1}{4}$ as above.

Please clarify the exact operation (compare, add, multiply, divide, etc.) for a precise answer.

Answer:

Step1: Multiply numerators and denominators

$\frac{5}{12} × \frac{3}{5} = \frac{5×3}{12×5}$

Step2: Simplify

Cancel common factors (5): $\frac{3}{12} = \frac{1}{4}$

Since the original problem's exact task isn't clear (from the image: "5/12 and 3/5" – maybe compare, add, multiply, etc.), if we assume comparison:

After converting to common denominator (60) as above:
$\frac{25}{60} < \frac{36}{60}$ so $\frac{5}{12} < \frac{3}{5}$

If we assume addition:
$\frac{25}{60} + \frac{36}{60} = \frac{61}{60} = 1\frac{1}{60}$

If we assume multiplication, the result is $\frac{1}{4}$ as above.

Please clarify the exact operation (compare, add, multiply, divide, etc.) for a precise answer.