Divide and simplify.
−2/17÷−1/2
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To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -1/2 is -2/1.
Therefore,
(-2/17) ÷ (-1/2)
= (-2/17) * (-2/1)
= 4/17
To divide and simplify −2/17÷−1/2, we follow these steps:
Step 1: Reciprocal of the second fraction
The first step is to find the reciprocal of the second fraction, which means flipping the numerator and denominator. The reciprocal of −1/2 is −2/1 or simply −2.
Step 2: Multiply by the reciprocal
Multiply the first fraction (-2/17) by the reciprocal of the second fraction (-2). Multiplying fractions involves multiplying the numerators together and multiplying the denominators together.
(-2/17) * (-2/1) = (-2 * -2) / (17 * 1)
Simplifying the numerator gives us 4, and the denominator remains as 17.
Therefore, the simplified result is 4/17.
To divide and simplify the expression -2/17 ÷ -1/2, you need to follow these steps:
Step 1: Invert the divisor (the second fraction) by swapping the numerator and denominator. So, -2/17 ÷ -1/2 becomes -2/17 × -2/1.
Step 2: Multiply the numerators and denominators together. In this case, -2 × -2 = 4 and 17 × 1 = 17. So, the expression becomes 4/17.
Step 3: The fraction 4/17 cannot be simplified any further because the numerator and denominator do not have any common factors.
Therefore, the simplified division of -2/17 ÷ -1/2 is 4/17.