How do u figure out complex fractions and unit rates

John divided his souvenir hat pins into two piles. The two piles had an equal number of pins. He gave his brother one-half of one-third of one pile. John had 66 pins left. How many pins did John originally have?

Prove that a rectangle has congruent diagonals with a paragraph proof. Be sure to create and name the appropriate geometric figures.

Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true? {2.5, 3, 4.5} {1, 2.5} {3, 4.5, 5} {4.5, 5}

Daniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinner.

Morgan takes a walk almost every day. The graph shows the distance traveled after the number of seconds. Determine whether the function is proportional or non-proportional. Justify your response. The coordinates are (2,10) and (5,25)

Susannah has a high-yield savings account into which she deposits $120 each month. At the beginning of the year, Susannah's account balance is $800. In the equation below, x represents the amount of time, and y represents Susannah's account balance.

Round 781,407 to the nearest ten thousand?

The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8.5 million square kilometers.

What is the solution to the equation? 13 and three-fourths + x = 7 and one-fourth x = negative 6 and one-fourth x = negative 6 and one-half x = 20 x = 21

In order to develop a more appealing cheeseburger, a franchise uses taste tests with 15 different buns, 8 different cheeses, 3 types of lettuce, and 4 types of tomatoes.