Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 12) = 6. In the next intermediate step, , cancel by a common factor of 6 gives 1/2.
In words - two thirds multiplied by three quarters = one half.
2. Multiple: 1/6 * 4/5
= 1 · 4/ 6 · 5
= 4/30
= 2 · 2/ 15 · 2
= 2/15
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 30) = 2. In the next intermediate step, , cancel by a common factor of 2 gives 2/15.
In words - one sixth multiplied by four fifths = two fifteenths.
3. Multiple: 20/21 * 14/25
= 20 · 14/21 · 25
= 280/525
= 8 · 35/15 · 35
= 8/15
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(280, 525) = 35. In the next intermediate step, , cancel by a common factor of 35 gives 8/15.
In words - twenty twenty-firsts multiplied by fourteen twenty-fifths = eight fifteenths.
4. Multiple: 4/5 * 1/10
= 4 · 1/5 · 10
= 4/50
= 2 · 2/25 · 2
= 2/25
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 50) = 2. In the next intermediate step, , cancel by a common factor of 2 gives 2/25.
In words - four fifths multiplied by one tenth = two twenty-fifths.
5. Multiple: 1/4 * 2/3
= 1 · 2/4 · 3
= 2/12
= 1 · 2/6 · 2
= 1/6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 12) = 2. In the next intermediate step, , cancel by a common factor of 2 gives 1/6.
In words - one quarter multiplied by two thirds = one sixth.
Answers & Comments
1. A. 1/2
2. B. 2/15
3. C. 8/15
4. D. 2/25
5. C. 1/6
Step-by-step explanation:
1. Multiple: 2/3 * 3/4
= 2 · 3/3 · 4
= 6/12
= 1 · 6/2 · 6
= 1/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 12) = 6. In the next intermediate step, , cancel by a common factor of 6 gives 1/2.
In words - two thirds multiplied by three quarters = one half.
2. Multiple: 1/6 * 4/5
= 1 · 4/ 6 · 5
= 4/30
= 2 · 2/ 15 · 2
= 2/15
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 30) = 2. In the next intermediate step, , cancel by a common factor of 2 gives 2/15.
In words - one sixth multiplied by four fifths = two fifteenths.
3. Multiple: 20/21 * 14/25
= 20 · 14/21 · 25
= 280/525
= 8 · 35/15 · 35
= 8/15
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(280, 525) = 35. In the next intermediate step, , cancel by a common factor of 35 gives 8/15.
In words - twenty twenty-firsts multiplied by fourteen twenty-fifths = eight fifteenths.
4. Multiple: 4/5 * 1/10
= 4 · 1/5 · 10
= 4/50
= 2 · 2/25 · 2
= 2/25
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 50) = 2. In the next intermediate step, , cancel by a common factor of 2 gives 2/25.
In words - four fifths multiplied by one tenth = two twenty-fifths.
5. Multiple: 1/4 * 2/3
= 1 · 2/4 · 3
= 2/12
= 1 · 2/6 · 2
= 1/6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 12) = 2. In the next intermediate step, , cancel by a common factor of 2 gives 1/6.
In words - one quarter multiplied by two thirds = one sixth.