What is the value of the expression?
3 1/8 divided by 1 5/8
A. 4 3/4
B. 3 1/5
C. 1 12/13
D. 1 1/2
Find the number that completes the equation.
2/7 divided by ___ = 2/21
A. 2/7
B. 1/3
C. 3
D. 21/2
B. 1/3
A.
3 1/8 = 3 + 1 / 8 = 24 / 8 + 1 / 8 = 25 / 8
1 5/8 = 1 + 5 / 8 = 8 / 8 + 5 / 8 = 13 / 8
3 1/8 / 1 5/8 = ( 25 / 8 ) / ( 13 / 8 ) = 25 • 8 / 8 • 13 =
25 / 12 = ( 13 + 12 ) / 13 =
13 / 13 + 12 / 13 = 1 + 12 / 13 =
1 12/13
B.
( 2 / 7 ) / x = 2 / 7
Now:
( 2 / 7 ) / x = 2 / 21
2 / 7 x = 2 / 21
Cross multiply.
2 • 21 = 7 x • 2
42 = 14 x
14 x = 42
x = 42 / 14 = 3
2/7 divided by 3 = 2/21
To find the value of the expression 3 1/8 divided by 1 5/8, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
3 1/8 = (3 * 8 + 1) / 8 = 25 / 8
1 5/8 = (1 * 8 + 5) / 8 = 13 / 8
Step 2: Divide the two fractions.
(25 / 8) divided by (13 / 8) = (25 / 8) * (8 / 13)
= (25 * 8) / (8 * 13)
= 200 / 104
= 25 / 13
The value of the expression 3 1/8 divided by 1 5/8 is 25/13.
So, the answer is not listed among the options given.
To find the value of the expression 3 1/8 divided by 1 5/8, you can follow these steps:
1. Convert the mixed numbers to improper fractions. In this case, the mixed numbers are 3 1/8 and 1 5/8. The improper fractions equivalent to these mixed numbers are 25/8 and 13/8.
2. Divide the numerator of the first fraction by the numerator of the second fraction. So, 25 divided by 13 is 1 with a remainder of 12.
3. Rewrite the remainder as a fraction over the denominator of the second fraction. This means that the remainder 12 is equivalent to 12/8.
4. Add the result from step 2 to the fraction from step 3. So, 1 + 12/8 is 1 12/8 or 1 1/2.
Therefore, the value of the expression 3 1/8 divided by 1 5/8 is D. 1 1/2.
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To find the missing number in the equation 2/7 divided by ___ = 2/21, you can use the inverse operation of division, which is multiplication. Here's how you can solve it:
1. Rewrite the equation as a multiplication problem by flipping the fraction on the right-hand side. So, 2/7 divided by ___ = 2/21 becomes 2/7 multiplied by 21/2.
2. Multiply the numerators together and the denominators together. So, (2 x 21) divided by (7 x 2) is 42/14.
3. Simplify the fraction if possible. In this case, both the numerator and denominator are divisible by 14, so the fraction simplifies to 3/1 or just 3.
Therefore, the missing number that completes the equation 2/7 divided by ___ = 2/21 is C. 3.