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By what number should \(\dfrac{33}{8}\) divided to get \(\dfrac{11}{2}\) ?
Express \(\left[\dfrac{1}{4} – \dfrac{1}{6}\right] \div \left[\dfrac{1}{3} + \dfrac{1}{2}\right] \)
*** QuickLaTeX cannot compile formula: \left[\dfrac{1}{4}  \dfrac{1}{6}\right] \div \left[\dfrac{1}{3} + \dfrac{1}{2}\right] = \dfrac{3 + 2}{12} \div \dfrac{2 + 3}{6} \\ = \dfrac{1}{12} \times \dfrac{6}{5} = \dfrac{6]{60} = \dfrac{1}{10} *** Error message: File ended while scanning use of \@genfrac. Emergency stop.
Given \( a = 1\dfrac{5}{7} , \ b = \dfrac{1}{4}, \ c = \dfrac{1}{9} \ and \ d = \dfrac{5}{4} \) , evaluate \(a(b – c)\div d\)
Arrange in descending order
\(\dfrac{17}{30} , \dfrac{3}{5} , \dfrac{4}{15} , \dfrac{7}{15} \)
LCM = 30
Which one of the following statement is true ?
Find the value of \(\dfrac{1}{2} + \dfrac{1}3}+ \dfrac{5}{6} + \dfrac{5}{3} + \dfrac{7}{4} \)
The value of \( (17 \times 12)^{1} = \)
If \((24)^{1}\) is divided by \(3^{1}\) then the quotient will be
Simplify \( \left[7^{1} + \left(\dfrac{3}{2}\right)^{1}\right]^{1} \div \left[6^{1} + \left(\dfrac{3}{2}\right)^{1}\right]^{1}\)
Which one of the following statement is false ?
Steve has a negative rational number which is reciprocal of itself. If he multiplies the rational number with \( x = \left[\dfrac{1}{7} \times 4\dfrac{3}{5} + 4\dfrac{3}{5} + 7\dfrac{3}{5} + 4\dfrac{9}{17} \div 8\dfrac{7}{17} \right]\) then which one of the following is correct statement ?
There is only one negative rational number which is reciprocal of itself is 1.
Stephen has three boxes whose total weight is \(\dfrac{121}{2}\) pound. If the first box weight is \(3\dfrac{1}{2}\) pound more than the second box and third box weight \(5\dfrac{1}{3}\) pound more than first box, then the weight of second box is _____.
Let the weight of second box = x
Let the weight of first box =
Third =
x + x + \dfrac{7}{2} + x + \dfrac{7}{2} + \dfrac{16}{3} = \dfrac{121}{2} \rightarrow x = \dfrac{289}{18}[/latex] pound
The height of a triangle is three fifth of it corresponding base. If the height increased by \(4\%\)and base decreased by \(2\%\) then area of triangle remains same. The base of triangle is :
Let base of the triangle = x
Height =
Are
New Height
Base
Area
Hence, we cannot determine the value of x.
Find a number which is 28 greater than the average of its one third, quarter and one – twelfth.
If the length of a rectangle is \(3\dfrac{1}{3}\) cm more than the breadth which is equal to the side of a square whose perimeter is 24 cm then the area of rectangle is :
Side of square = 6 cm
Breadth of rectangle = 6 cm
Length
Find the length of square in which an equilateral triangle formed as shown in figure whose half of the perimeter is \(4\dfrac{5}{17}\) m.
Perimeter of equilateral triangle =
Half of the perimeter = [altex] \dfrac{73}{17}[\latex] cm
Perimeter m
The perimeter is rectangle is \(3\dfrac{1}{3}\) more than the perimeter of square. A triangle whose perimeter is \(\dfrac{1}{3]\) times of the circumference of the circle whose radius is 5 cm and is equal to the length of sides of the square. Find the perimeter of rectangle is :
Perimeter of square cm
Perimeter of rectangle cm
Peter defines a rational number in the following ways. “It is of the form \(\dfrac{p}{q}\) , where q is the smallest whole number.” This definition is :
Which of the following statement is false ?
If \( P = \dfrac{4}{5} \times \dfrac{10}{9} \times \dfrac{3}{4}\) and \( Q = (6) \times \dfrac{7}{5} \times \dfrac{2}{3}\) then P + Q is equal to :
Which of the following is equivalent to \(\dfrac{4}{5}\) ?
How many rational numbers are there between two rational numbers ?
In the standard form, the denominator is always a
To reduce a rational number to its standard form we divide its numerator and denominator by
In the standard form of rational number, the common factor is always