In the problem 5/6 divided by 7/8, will the quotient be more or less than 1?
explain how you know WITHOUT solving.
To determine whether the quotient of 5/6 divided by 7/8 is more or less than 1 without solving, you can compare the two fractions by cross-multiplying.
When cross-multiplying, you multiply the numerator of one fraction by the denominator of the other fraction. If the product of the first numerator and the second denominator is greater than the product of the second numerator and the first denominator, then the first fraction is greater; otherwise, the second fraction is greater.
In this case, we cross-multiply as follows:
(5/6) * (8/7)
(5 * 8) / (6 * 7)
So, we get 40/42.
Now, we can compare the products of the numerators and denominators: 5 * 8 = 40 and 6 * 7 = 42.
Since 40 is less than 42, the quotient of 5/6 divided by 7/8 (40/42) is less than 1.
Therefore, without solving, we can conclude that the quotient of 5/6 divided by 7/8 is less than 1.
What do you think?
a quotient is less than one if the numerator is less than the denominator.
So, is 5/6 < 7/8 ?