Susan was awake for 2/3 of an entire day. If she spent 3/7 of her time awake at work, what fraction of the day was she at work?
What is 2/3 of 3/7? 2/7?
the answer is 1 1/3
To find the fraction of the day Susan was at work, we need to multiply the fraction of the day she was awake (2/3) by the fraction of her time awake that she spent at work (3/7).
First, we multiply the numerators together:
2/3 * 3/7 = (2 * 3) / (3 * 7) = 6/21.
Next, we simplify the fraction. Both 6 and 21 are divisible by 3, so we divide the numerator and denominator by 3:
6/21 = 2/7.
Therefore, Susan spent 2/7 of the day at work.
To find out what fraction of the day Susan was at work, we need to multiply the amount of time she was awake by the fraction of her awake time that she spent at work.
First, let's calculate the fraction of the day Susan was awake. We know that she was awake for 2/3 of the day, so the fraction of the day she was awake is 2/3.
Next, we'll calculate the fraction of Susan's awake time that she spent at work. We're told she spent 3/7 of her awake time at work.
To find the fraction of the day Susan was at work, we multiply the fraction of the day she was awake by the fraction of her awake time spent at work:
(2/3) * (3/7) = 6/21
So, Susan was at work for 6/21 of the day.