Part 2....lol....I cant draw a model.
5/6 + 1/4.
steps involved : find a common denominator. Make both fractions have that denominator by converting them. Add fractions. Turn to mixed numbers if necessary.
5/6 + 1/4....common denominator 12
10/12 + 3/12 =
13/12 or 1 1/12
I dont know what to put foe reasoning other then that you can't add/subtract fractions unless they have the same denominator.
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3/4 - 2/3
steps involved: find the common denominator to both fractions. Convert both fractions so they have the same denominator. Subtract them.
3/4 - 2/3....common denominator is 12
9/12 - 8/12 =
1/12
====================
2/3 * 3/8......multiply straight across.....numerator with numerator, denominator with denominator. Reduce when needed.
2/3 * 3/8 = (2 * 3) / (3 * 8) = 6/26 reduces to 1/4
with multiplication / division of fractions, common denominators are not necessary
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(3/8) / (3/4) =
3/8 * 4/3 =
12/24 reduces to 1/2
when dividing with fractions, u flip what u r dividing by, then multiply
Answer:
x <-2
Step-by-step explanation:
-3x+6>12
Subtract 6 from each side
-3x+6-6>12-6
-3x> 6
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 6/-3
x <-2
27x - 144 + 15 = 6x - 24
27x - 129 = 6x - 24
+129 +129
--------- --------
0 105
27x = 6x + 105
-6x -6x
----- ------
21x 0
21x = 105
21x/21 = 105/21
x = 5
Remove brackets
Gather like terms
Get rid of the lone number
Transfer
Divide
Hope this helps :)
Answer:
5.1 mph
Step-by-step explanation:
she ran 3 2/5 miles in 2/3 hours.
that is the essential information to solve the problem. everything else is just there to give you "atmosphere" and Shao to confuse you.
the question is simply : what was her speed in mph ?
that means we need to bring the ratio of
3 2/5 miles / 2/3 hours
to 1 hour in the denominator (instead of 2/3 hours).
because we need that to express miles per (one) hour.
so, what do we need to multiply 2/3 with to get 1 (=3/3) ?
2/3 × x = 1
2x = 3
x = 3/2
so, to get 1 hour, we need to multiply the denominator by 3/2.
and to keep the original value of the ratio, we need to multiply also the numerator by the same 3/2.
speed = (3 2/5 miles × 3/2) / (2/3 hours × 3/2) =
= (17/5 miles × 3/2) / (1 hour) = 51/10 miles / 1 hour =
= 5.1 miles / 1 hour = 5.1 mph
the opposite is squared so,
square root of 4 is 2 and 2 squared is 4