Solutions
1) <span>Add the whole numbers first ( 7 and 2 )
</span><span>9+<span>7/8</span>+<span>11/12
2) </span></span>Find the Least Common Denominator (LCD) of
<span><span>7 / 8</span>,<span>11 / 12
</span></span>
Start by Listing Multiples
List out all multiples of each denominator, and find the first common one.
8 : <span><span>8,16,24</span>
</span>
12 : <span>12,24
</span>
Therefore, the LCD is <span>24
</span>Method 2: By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : <span>2,2,2
</span>
12 : <span>2,2,3
</span>
Therefore, the LCD is <span>2×2×2×3=24
3) </span>Make the denominators the same as the LCD
<span>9+<span><span>7×3 / </span><span>8×3</span></span>+<span><span>11×2 / </span><span>12×2
</span></span></span>4) Simplify. Denominators are now the same
<span>9+<span>21 / 24</span>+<span>22 / 24
5) J</span></span>oin the denominators
<span>9+<span><span>21+22 / </span>24</span></span>
6) Simplify
<span>9+<span>43 / 24
7) </span></span>Convert 43 / 24 <span>to mixed fraction
</span><span>9+1 <span>19 / 24
8) </span></span>Simplify
<span><span>10 <span>19 / 24</span></span></span>
Answer:
Step-by-step explanation:
Remark
The last digit is 1 3 5 7 9 because the last digit is odd.
The first digit must be a 3 because the number is between 300 and 350
Let the first digit = x
Let the second digit = y
Let the third digit = z
x + y = z
x + y + z = 14 Substitute z for x + y
z + z = 14 Combine
2z = 14 Divide by 2
2z/2 = 14/2
z = 7
The first digit is 3 and the third digit = 7
The middle digit is 3 less than the last digit.
y = 7 - 3 = 4
Answer
347
Answer:
x = 87
Step-by-step explanation:
the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).
Then, we have that the ratio SR / SV is the same as RT / UV:
SR / SV = RT / UV = 1 / 2
RT * 2 = UV
2*(x - 37) = x + 13
2x - 74 = x + 13
x = 87