Answer:
2 1/3
Step-by-step explanation:
Answer:8.44 miles per gallon
Step-by-step explanation:
1266/150=
8.44 miles per gallon
To write a number into the scientific notation, we need to move the decimal point of the number to the right if the decimal point is before the value or left up if the point is after the the last number of the value. We need to count how many places we moved the point. Then, we write the value after moving and multiply this by 10 to the power of the number you moved the decimal point. If you moved it to the right, then the power would be a negative value. If moved to the left, then the power is positive. We do as follows:
.10316455696
1.0316455696 x 10^-1 = 1.03 x10^-1
Here are the solutions and answers for each question:
Addition and Subtraction - Find the common denominator then add or subtract the numerator and retain the common denominator. Finally, simplify into its lowest terms.
<span>1. 5/14 + 1/6
</span>(3/3)(5/14) + (7/7)(1/6) = 15/42 + 7/42 = 22/42 = 11/21
<span>
2. 5/12 - 3/20
(5/5)(5/12) - (3/3)(3/20) = 25/60 - 9/60 = 16/60 = 4/15
3. 5/12 - 3/8
(2/2)(5/12) - (3/3)(3/8) = 10/24 -9/24 = 1/24
4. 1 3/10 + 1/4
1 3/10 = ((1x10) + 3)/10 = 13/10
(4/4)(13/10) +(10/10)(1/4) = 52/40 + 10/40 = 62/40 = 31/20
5. 2/3 + 6 1/5
6 1/5 = ((6x5)+1)/5 = 31/5
(5/5)(2/3) +(3/3)(31/5) = 10/15 + 93/15 = 103/15
6. 3 1/6 - 1/7
3 1/6 = ((3x6)+1)/6 =19/6
(7/7)(19/6) - (6/6)(1/7) = 133/42 - 6/42 = 127/42
7. 3/8 + 5/24
(3/3)(3/8) + (1/1)(5/24) = 9/24 + 5/24 = 14/24 = 7/12
8. 1/20 + 5/12
(3/3)(1/20) + (5/5)(5/12) = 3/60 + 25/60 = 28/60 = 7/15
9. 9/20 - 1/4
(1/1)(9/20) - (5/5)(1/4) = 9/20 - 5/20 = 4/20 = 1/5
10. 9/10 - 3/14
(7/7)(9/10) - (5/5)(3/14) = 63/70 - 15/70 = 48/70 = 24/35
11. 3 3/8 + 5/12
3 3/8 = ((3x8)+3)/8 = 27/8
(3/3)(27/8) + (2/2)(5/12) = 81/24 + 10/24 = 91/ 24
12. 5 7/10 - 5/18
5 7/10 = ((5x10)+7)/10 = 57/10
(9/9)(57/10) - (5/5)(5/18) = 513/90 - 25/90 = 488/90 = 244/45
Multiplication - simply multiply the numerator by the numerator of the other fraction and </span>the denominator by the denominator of the other fraction
<span>1. 1/2 x 5/8 = 5/16
2. 3/5 x 5/9 = 15/45 = 1/3
3. 3/8 x 2/5 = 6/40 = 3/20
4. 2 3/8 x 16
2 3/8 = ((2x8)+3)/8 = 19/8
19/8 x 16 = 304/8 = 38
5. 1 4/5 x 5/12
1 4/5 = ((1x5)+4)/5 = 9/5
9/4 x 5/12 = 45/48 = 15/16
6. 1 2/10 x 5
1 2/10 = ((1x10)+2)/10 = 12/10
12/10 x 5 = 60/10 = 6
</span><span>Find each amount - Simply multiply the two given values.
1. 1/4 of 12 bottles of water = 3 bottles
1/4 x 12 = 12/4 = 3
2. 2/3 of 24 bananas = 16 bananas
2/3 x 24 = 48/3 = 16
3. 3/5 of $40 restaurant bill = $ 24
3/5 x 40 = 120/5 = 24
4. 5/6 of 18 pencils = 15 pencils
5/6 x 18 = 90/6 = 15</span>
