find each quotient
1. 1/4 / 3/8
a 1/3
b 2/3
c 3/4
d 3/8
2. 1/3 / 5/6
a 2/3
b 2/5
c 2/6
d 1/5
3. 1 3/4 / 3
a 21/4
b 3 1/4
c 1 4/7
d 7/12
4. 1 3/5 / 5/8
a 1
b 1 1/5
c 2 14/25
d 2 2/5
5. 10 / 2/5
a 4
b 12
c 15
d 25
what is the answer kain
what's the answer
Math
To find each quotient, we need to divide the numerators and denominators separately. Here's how to solve each problem:
1. 1/4 ÷ 3/8:
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/8 is 8/3. So we have:
1/4 × 8/3 = (1 × 8)/(4 × 3) = 8/12 = 2/3
Therefore, the quotient is option b) 2/3.
2. 1/3 ÷ 5/6:
Again, we need to multiply the first fraction by the reciprocal of the second fraction:
1/3 × 6/5 = (1 × 6)/(3 × 5) = 6/15 = 2/5
Therefore, the quotient is option b) 2/5.
3. 1 3/4 ÷ 3:
To divide a mixed number by a whole number, we first need to convert the mixed number to an improper fraction.
1 3/4 is equivalent to (4 × 1 + 3)/4 = 7/4.
Now we can divide:
7/4 ÷ 3 = 7/4 × 1/3 = (7 × 1)/(4 × 3) = 7/12
Therefore, the quotient is option d) 7/12.
4. 1 3/5 ÷ 5/8:
Convert the mixed number to an improper fraction:
1 3/5 = (5 × 1 + 3)/5 = 8/5.
Then, divide:
8/5 ÷ 5/8 = 8/5 × 8/5 = (8 × 8)/(5 × 5) = 64/25.
The quotient can be written as a mixed number:
64/25 = 2 14/25
Therefore, the quotient is option c) 2 14/25.
5. 10 ÷ 2/5:
To divide by a fraction, we need to multiply by the reciprocal:
10 ÷ 2/5 = 10 × 5/2 = (10 × 5)/(2 × 1) = 50/2 = 25
Therefore, the quotient is option d) 25.
I will be happy to check your answers.
remember:
(a/b)/(c/d)=(a/b)*(d/c)=ad/bc