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andreyandreev [35.5K]
3 years ago
13

Which sum is equivalent to 7/9 + 5/6?

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Answer:

The Answer is 29/18 and in mixed form it is 1 11/18

Step-by-step explanation:

Steps for adding fractions

Find the least common denominator or LCM of the two denominators:

LCM of 9 and 6 is 18

Next, find the equivalent fraction of both fractional numbers with denominator 18

For the 1st fraction, since 9 × 2 = 18,

7

9

=

7 × 2

9 × 2

=

14

18

Likewise, for the 2nd fraction, since 6 × 3 = 18,

5

6

=

5 × 3

6 × 3

=

15

18

Add the two like fractions:

14

18

+

15

18

=

14 + 15

18

= 29/18

So, 7/9 + 5/6 = 29/18

In mixed form: 1 11/18

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Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

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4 years ago
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nadezda [96]

Answer:

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Step-by-step explanation:

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= 1/3 (-2) x 1/4

= -2/3 x 1/4

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2 and 12 can cancel out each other.

so the answer will be.

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3 years ago
Divide. Write the quotient in lowest terms. 1/4 ÷ 1 1/8<br><br> ​
natta225 [31]

Answer:2/11

Step-by-step explanation:

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Firstly start by getting the common factors between 1 and 4 in 1/4 and 11 and 8 in 11/8. The common factor is 1 in 1/4 and 1 in 11/8. 1÷1/4÷1= 1/4. 11÷1/8÷1 = 11/8.

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4 years ago
Read 2 more answers
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