Answer:
3/4 of an hour
Step-by-step explanation:
To find the leftover time, subtract the total allotted time by the time used.
First make sure they have common denominators.
1 1/2 = 3/2 = 6/4
6/4 - 3/4 = 3/4
Tessa has 3/4 of an hour left.
They are similar. Set the proportions equal to each other
(x + 8)/8 = (x+14)/12
Cross multiply
(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)
12(x + 8) = 8(x + 14)
Distribute the 12 and 8 to the corresponding monomials inside the parenthesis
12(x + 8) = 12x + 96
8(x + 14) = 8x + 112
12x + 96 = 8x + 112
Isolate the x. Subtract 8x from both sides and 96 from both sides
12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)
12x - 8x = 112 - 96
4x = 16
Isolate the equal sign. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
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4 is your answer for x
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hope this helps
Hi there!
I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!
So, the steps are:
Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.
This is what it should look like.
Now, what is 2 times 2? You can use a calculator for this part.

Now, we can get to the last part, my favorite one!
Simplify
down to
.
How did we do it? EASY!
See what number does evenly into both numerators and denominators. In this case, 2 goes into 4 twice, and 2 goes into 6 three times, so we're left with our beautiful answer
.
That wasn't so bad, was it? You can use this as a guide for figuring out math problems like these, in case you're stuck again. But just in case, message me if you need anymore help! :D