Madison went to the mall with her big sister last week and their mom drop them off at 1 o’clock and said i’ll pick you up at 2: 30 the girls been 56 of an hour at the toy store 2/3 of an hour at the pet store and 1/2 of an hour at the food court when they got back to the bench to meet their mom she was already there who long was her mom waiting

The mom was waiting for half an hour (0.5 hours)

Step-by-step explanation:

They arrived in the mall at the 1:00 hs, and their mother said that she will be back at the 2:30 hs.

the difference between those is:

2:30hs - 1:00hs = 1:30hs

so the gilrs had one hour and 30 minutes to be in the mall. and knowing that 30 minutes is half an hour, we can write this as 1.5 hours.

now, she spended:

5/6 of an hour in the toy store

2/3 of an hour in the pet store

1/2 of an hour in the food court.

then in total we have:

5/6 + 2/3 + 1/2 = 5/6 + (2/2)*(2/3) + (3/3)*(1/2)

5/6 + 4/6 + 3/6 = 12/6 = 2

so the total time is two hours, this means that when they go back to the bench, their mom will be there for:

2hs - 1.5hs = 0.5 hs

half an hour.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .