Find the quotient.
five over twenty-eight ÷ one over seven
A. 1one quarter
B. four fifths
C. five over one hundred ninety-six
Find the quotient.
8start fraction 2 over 5 end fraction ÷ 2start fraction 5 over 8 end fraction
A. 3 and one-fifth
B. 4 and one-fourth
C. 11start fraction 1 over 40 end fraction
D. 22start fraction 1 over 20 end fractionD. four over twenty-one
why not just say :
(5/28) ÷ (1/7
= (5/28)(7/1)
= 5/4 or 1 1/4
#2
again "8start fraction 2 over 5 end fraction ÷ 2start fraction 5 over 8 end fraction" ???
why not just say
8(2/5) ÷ 2(5/8)
= 16/5 ÷2(5/8)
= 8/5(5/8) according to the order of operation
= 1 , not one of the choices, so you must have meant something different
Use brackets and my notation to restate the question
To find the quotient, we need to divide the first fraction by the second fraction. Let's solve each problem step-by-step:
1. "Five over twenty-eight ÷ one over seven":
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, we have:
(5/28) ÷ (1/7) = (5/28) * (7/1)
= (5 * 7) / (28 * 1)
= 35/28
Now, we simplify the fraction 35/28 to its lowest terms. Both numerator and denominator are divisible by 7, so we can divide them both by 7:
35/28 = (35 ÷ 7) / (28 ÷ 7) = 5/4
The quotient is 5/4, which means "five over four."
Therefore, the answer is A. 1 one quarter ("one" is written as a word instead of a number).
2. "Eight (2/5) ÷ Two (5/8)":
Again, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, we have:
(8 * 2/5) ÷ (2 * 5/8)
= (16/5) ÷ (10/8)
To simplify, we multiply the first fraction by the reciprocal of the second fraction.
= (16/5) * (8/10)
= (16 * 8) / (5 * 10)
= 128/50
Now we simplify the fraction. Both the numerator and denominator are divisible by 2:
128/50 = (128 ÷ 2) / (50 ÷ 2)
= 64/25
The quotient is 64/25, which can be written as a mixed number. We divide 64 by 25:
64 ÷ 25 = 2 remainder 14
So, the mixed number is 2 (14/25) or 2 and 14/25.
Therefore, the answer is A. 3 and one-fifth.
maybe you meant
8(2/5) ÷ 2(5/8)
(16/5) ÷ (5/4)
(16/5)(4/5)
64/25 or
Apparently not. So, it must have been
8 2/5 ÷ 2 5/8
(42/5) ÷ (21/8)
(42/5)(8/21)
16/5 = 3 1/5
so, (A)