Math / Numbers & Operations

Question $\frac{2}{7} \div 6$

Studdy Solution

STEP 1

1. We are dividing the fraction $\frac{2}{7}$ by the whole number $6$ .
2. Division by a whole number can be converted to multiplication by the reciprocal of that number.

STEP 2

1. Convert the division into multiplication.
2. Multiply the fractions.
3. Simplify the result if possible.

STEP 3

Convert the division of $\frac{2}{7}$ by $6$ into multiplication by the reciprocal of $6$ .
$\frac{2}{7} \div 6 = \frac{2}{7} \times \frac{1}{6}$

STEP 4

Multiply the numerators and the denominators.
$\frac{2}{7} \times \frac{1}{6} = \frac{2 \times 1}{7 \times 6} = \frac{2}{42}$

STEP 5

Simplify the fraction $\frac{2}{42}$ by finding the greatest common divisor (GCD) of $2$ and $42$ , which is $2$ .
$\frac{2}{42} = \frac{2 \div 2}{42 \div 2} = \frac{1}{21}$
The simplified result of $\frac{2}{7} \div 6$ is:
$\boxed{\frac{1}{21}}$

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Question $\frac{2}{7} \div 6$

Studdy Solution

STEP 1

1. We are dividing the fraction $\frac{2}{7}$ by the whole number $6$ .
2. Division by a whole number can be converted to multiplication by the reciprocal of that number.

STEP 2

1. Convert the division into multiplication.
2. Multiply the fractions.
3. Simplify the result if possible.

STEP 3

Convert the division of $\frac{2}{7}$ by $6$ into multiplication by the reciprocal of $6$ .
$\frac{2}{7} \div 6 = \frac{2}{7} \times \frac{1}{6}$

STEP 4

Multiply the numerators and the denominators.
$\frac{2}{7} \times \frac{1}{6} = \frac{2 \times 1}{7 \times 6} = \frac{2}{42}$

STEP 5

Simplify the fraction $\frac{2}{42}$ by finding the greatest common divisor (GCD) of $2$ and $42$ , which is $2$ .
$\frac{2}{42} = \frac{2 \div 2}{42 \div 2} = \frac{1}{21}$
The simplified result of $\frac{2}{7} \div 6$ is:
$\boxed{\frac{1}{21}}$

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Question27÷6\frac{2}{7} \div 672​÷6

Studdy Solution

STEP 1

1. We are dividing the fraction 27\frac{2}{7}72​ by the whole number 666.2. Division by a whole number can be converted to multiplication by the reciprocal of that number.

STEP 2

1. Convert the division into multiplication.2. Multiply the fractions.3. Simplify the result if possible.

STEP 3

Convert the division of 27\frac{2}{7}72​ by 666 into multiplication by the reciprocal of 666.27÷6=27×16\frac{2}{7} \div 6 = \frac{2}{7} \times \frac{1}{6}72​÷6=72​×61​

STEP 4

Multiply the numerators and the denominators.27×16=2×17×6=242\frac{2}{7} \times \frac{1}{6} = \frac{2 \times 1}{7 \times 6} = \frac{2}{42}72​×61​=7×62×1​=422​

STEP 5

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Question $\frac{2}{7} \div 6$

1. We are dividing the fraction $\frac{2}{7}$ by the whole number $6$ .
2. Division by a whole number can be converted to multiplication by the reciprocal of that number.

1. Convert the division into multiplication.
2. Multiply the fractions.
3. Simplify the result if possible.

Convert the division of $\frac{2}{7}$ by $6$ into multiplication by the reciprocal of $6$ .
$\frac{2}{7} \div 6 = \frac{2}{7} \times \frac{1}{6}$

Multiply the numerators and the denominators.
$\frac{2}{7} \times \frac{1}{6} = \frac{2 \times 1}{7 \times 6} = \frac{2}{42}$