Rational Fraction Operations
Evaluate: - 3/5 + (- 1/5)
- 4/5
Evaluate: -4.5 - 3.2
-7.7
A submarine sits at 14.5 meters below sea level. It then dives down an additional 20.3 meters. What is its new depth relative to sea level?
-34.8
-4 * (3 - 8)
20
A business loses $45.50 daily for 4 days, then receives a credit of $200.25. What is the net financial change?
$18.25
Evaluate: 2 1/4 * (-2/3)
-3/2 or -1 1/2
Evaluate: -0.6 * 11.5
-6.9
A stock portfolio drops by $2.25 every hour for 6 1/2 hours. What is the total change in the portfolio value?
-$14.625
Estimate the answer to the nearest whole number by rounding the fractions first: -5 1/8 * 3 9/10
-29
: A merchant starts a billing cycle with a bank balance of -$120.50. What financial term describes this negative balance situation?
A deficit (or debt).
Evaluate: -7/8 / (1/4)
-7/2 or -3 1/2
Evaluate: -15.75 / (-0.5)
31.5
A baker uses 2 3/4 cups of flour for one batch of cookies. If they have 12 cups of flour, how many full batches can they make?
4 full batches (with 1/11 of a batch left over)
(-1/2)^2 - 4.5 / 0.9
-4.75
A business combines a starting deficit of -$120.50 with $367.50 in new sales revenue, and then subtracts $48.00 in shipping fees. What is their new total account balance?
$199.00.
3 1/2 - (-4 2/3)
8 1/6 (or 49/6)
Evaluate: 12.45 + (-3.2 * 4.5)
-1.95
The temperature at dawn was -5.4 degrees C. By noon, the temperature rose to 12.8 degrees C. What was the average hourly change in temperature over those 6 hours?
3.03 degrees C per hour (or 91/30 degrees C)
-2.5 * (3/5 - 1.2) + (-1/4)
1.25
A firm has a total final profit balance of $199.00 and must move 1/5 of it into a backup savings reserve. What exact dollar amount is left over in their primary operational bank account?
$159.20
Evaluate:-5/6 x 2 1/12
-1.74
Evaluate: (-2.48 - 3.82) / (-0.3)
21
A hiker starts at an elevation of -12.5 feet. They hike up 4 steep trails, each gaining exactly 52 1/4 feet. Then, they drop their keys and have to climb down 15.8 feet to retrieve them. What is their final elevation?
180.7 feet
(-3^2 + 4*(-1/2)) / (-0.5 * (-4.4))
-5
An online merchant has a starting bank balance of -$140.00 due to software maintenance fees. They sell 20 items for $32.50 each, but must pay a handling fee of $2 1/2 on each item sold. If the merchant must keep 1/4 of their final net profits in a reserve account, what is the exact amount left over in their primary bank account?
$345.00