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Solve 3(3/5)*2(3/4)*3(5/6)

1 Answer

10 votes

Answer:

6.75

Explanation:

Multiple: 3 * 3/

5

= 3 · 3/

1 · 5

= 9/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(9, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - three multiplied by three fifths = nine fifths.

Multiple: the result of step No. 1 * 2 = 9/

5

* 2 = 9 · 2/

5 · 1

= 18/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nine fifths multiplied by two = eighteen fifths.

Multiple: the result of step No. 2 * 3/

4

= 18/

5

* 3/

4

= 18 · 3/

5 · 4

= 54/

20

= 27 · 2/

10 · 2

= 27/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(54, 20) = 2. In the next intermediate step , cancel by a common factor of 2 gives 27/

10

.

In words - eighteen fifths multiplied by three quarters = twenty-seven tenths.

Multiple: the result of step No. 3 * 3 = 27/

10

* 3 = 27 · 3/

10 · 1

= 81/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 10) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-seven tenths multiplied by three = eighty-one tenths.

Multiple: the result of step No. 4 * 5/

6

= 81/

10

* 5/

6

= 81 · 5/

10 · 6

= 405/

60

= 27 · 15/

4 · 15

= 27/

4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(405, 60) = 15. In the next intermediate step , cancel by a common factor of 15 gives 27/

4

.

In words - eighty-one tenths multiplied by five sixths = twenty-seven quarters.

User Jonathan Gilbert
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