6) 5 ÷ 2/3

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1 point
3 1/2
3 1/3
7 1/2
7 1/3

1 answer

To divide by a fraction, we can multiply by its reciprocal.

The reciprocal of 2/3 is 3/2.

So, 5 ÷ 2/3 is the same as 5 * 3/2.

When we multiply fractions, we multiply the numerators and denominators separately.

5 * 3 = 15
2 * 1 = 2

The result is 15/2.

To simplify this fraction, we divide both the numerator and denominator by their greatest common factor, which is 1.

15/2 ÷ 1/1 = 15/2

So, 5 ÷ 2/3 is equal to 15/2.

To convert this fraction to a mixed number, we divide the numerator (15) by the denominator (2) and write the quotient as the whole number part. The remainder becomes the numerator of the fractional part, and the denominator remains the same.

15 ÷ 2 = 7 with a remainder of 1.

Therefore, the mixed number form of 15/2 is 7 1/2.

Therefore, the answer is 7 1/2.