6.75
Step-by-step 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.
