I'll teach and give you the answer for you problem (5 2/7 −1 1/2 )∙(1− 14/53 )
Convert mixed numbers to improper fractions 5 2/7 = 37/7:
(37/7-1 1/2) * (1- 14/53
Convert mixed numbers to improper fractions 1 1/2 = 3/2:
(37/7-3/2) * (1- 14/53
Join 37/7-3/2 = 53/14
53/14(-14/53+1)
Join 1-14/53 = 39/53
53/14 * 39/53
Cross-Cancel 53:
39/14
Your Answer As A Improper Fraction---> 39/14
Your Answer As A Mixed Number---> 2 11/14
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Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
Answer:
x=4
Step-by-step explanation:
Problem set up is: 5x-6=14
5x=20
x=4