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wednesday find the greatest common factor of 12 and 16. find the produc…

Question

wednesday
find the greatest common factor of 12 and 16.
find the product.
13.22 × 0.7 =
find the product. simplify the answer.
\\(\frac{3}{4} \times \frac{2}{8} =\\)
find the quotient.
\\(0.04 \enclose{longdiv}{0.24}\\)
write in >, <, =,

Explanation:

Response
1. Find the greatest common factor of 12 and 16.

Step1: List factors of 12

The factors of 12 are \(1, 2, 3, 4, 6, 12\).

Step2: List factors of 16

The factors of 16 are \(1, 2, 4, 8, 16\).

Step3: Identify common factors

Common factors of 12 and 16 are \(1, 2, 4\).

Step4: Find the greatest common factor

The greatest among them is 4.

Step1: Multiply as whole numbers

Treat \(13.22\) as \(1322\) and \(0.7\) as \(7\), then \(1322\times7 = 9254\).

Step2: Determine decimal places

\(13.22\) has 2 decimal places, \(0.7\) has 1 decimal place, so total decimal places is \(2 + 1=3\).

Step3: Place decimal in result

From the right of 9254, move 3 places: \(9.254\).

Step1: Multiply numerators and denominators

\(\frac{3\times2}{4\times8}=\frac{6}{32}\).

Step2: Simplify the fraction

Divide numerator and denominator by their GCD (2): \(\frac{6\div2}{32\div2}=\frac{3}{16}\).

Answer:

4

2. Find the product \(13.22\times0.7\)