What is the quotient 5 2/7 ÷ 1 1/2
To divide 5 2/7 by 1 1/2, we need to convert both mixed numbers into improper fractions.
First, we convert 5 2/7 to an improper fraction. We multiply the whole number (5) by the denominator of the fraction (7) and add the numerator (2). Then we put the sum (37) over the denominator (7), which gives us 37/7.
Similarly, we convert 1 1/2 to an improper fraction. We multiply the whole number (1) by the denominator of the fraction (2) and add the numerator (1). Then we put the sum (3) over the denominator (2), which gives us 3/2.
Now we can divide the two fractions: (37/7) ÷ (3/2).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/2 is 2/3.
So, (37/7) ÷ (3/2) = (37/7) * (2/3).
Multiplying the numerators (37 * 2) and the denominators (7 * 3) gives us 74/21.
Therefore, the quotient of 5 2/7 ÷ 1 1/2 is 74/21.