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2 years ago

Whats the difference in 2/3 - 1/6

Mathematics

1 answer:

nasty-shy [4]2 years ago

7 0

Answer:

2/3&1/6

2/3- 1/6

the LCM for 3 and 6 is 6

=(2x6)/(3x6) -(1x6)/(6x6)

=4/6-1/6

=(4-1)/6

find the difference

= 3/6

=1/2

2/3-1/6= 1/2

By using LCM method, 1/2 is the equivalent fraction by subtracting 1/6 from 2/3.

2/3&1/6

2/3- 1/6

cross multiply

2x6-1x3/3x6

simplify

12-3/18

=9/18

= 1/2

2/3-1/6 = 1/2

By using cross multiplication method, 1/2 is the difference between two fractions 2/3 and 1/6.

Step-by-step explanation:

hope that helps>3

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Answer:

The system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

Hence the equation can be represented as;

$h+s=15 \ \ \ \ equation \ 1$

Again Given:

Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

Hence the equation can be represented as;

$0.2h+0.1s=2 \ \ \ \ \ equation \ 2$

Hence the system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

$10(0.2h+0.1s)=2\times 10\\10\times0.2h+10\times0.1s=20\\2h+s =20 \ \ \ \ \ equation \ 3$

Now Subtracting equation 1 from equation 3 we get;

$(2h+s)- (h+s) =20-15\\2h+s-h-s=5\\h= 5$

Now Substituting the value of h in equation 1 we get;

$h+s= 15\\5+s =15\\s=15-5\\s=10$

Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.

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3 years ago

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Step-by-step explanation:

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