Free Fractions and Decimals 01 Practice Test - 7th grade
Question 1
A fraction is ______.
the ratio of the total number of parts to the number of parts considered.
the ratio of the number of parts considered to the total number of parts.
never a whole part
always a whole part
SOLUTION
Solution : B
Consider the following example.
Suppose you have a pizza.
Divide the whole pizza into 4 parts.
Now, take 3 parts out of the 4 parts.
These 3 parts represent the fraction 3 out of 4, i.e., 34.
i.e., a fraction is the ratio of the number of divisions considered to the total number of divisions.
Question 2
Which of the following is correct about improper fractions?
In an improper fraction, the numerator is less than denominator and numerator is greater than 0.
In an improper fraction, the numerator is always greater than the denominator.
In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.
In an improper fraction, the numerator is always equal to the denominator.
SOLUTION
Solution : C
In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.
e.g. 615, 76, 94,6621 etc
Question 3
abc is called a/an ____ and is equal to ____.
proper fraction, bc
improper fraction, a÷bc
mixed fraction, a×bc
mixed fraction, a+bc
SOLUTION
Solution : D
abc is called a mixed fraction.
Here, 'a' is whole number part and bc is the fractional part.
e.g. 234, 516abc=a+bc
e.g: 234= 2+34
Question 4
Which of the given option is the simplest form of 1386018480 ?
12
34
14
32
SOLUTION
Solution : B
In order to reduce a fraction to its lowest terms, divide both numerator and denominator by their common factor.
13860101848010=13861848
1386318483=462616
4621161611=4256
427567=68=34
Question 5
Convert 612, 14 and 63 into like fractions.
512, 312, 2412
612, 212, 2412
612, 312, 2012
612, 312, 2412
SOLUTION
Solution : D
In order to convert the fractions into like fractions, find the L.C.M of denominators of given fractions.
Then convert each fraction into an equivalent fraction having denominator as the L.C.M of the denominators of the given fractions.
L.C.M of [12, 4, 3] = 12
612=6×112×1=612
14=1×34×3=312
63=6×43×4=2412
Question 6
Find the value of a if,
3a4=154
3
4
1
2
SOLUTION
Solution : A
3a4 is a mixed fraction.
3a4= (3×4) +a4= 12 +a4
Given, (12+a)4 = 154
Comparing the numerator gives, (12 + a) =15
Therefore, a = (15 - 12) = 3
Question 7
Arrange the following fractions in ascending order,
fractions: 1216,49 and 610
610, 49, 1216
49, 610, 1216
1216, 610, 49
1216, 49, 610
SOLUTION
Solution : B
To compare the fractions, make the denominators equal.
For that, we have to find LCM of denominators 16,9,10
16=2×2×2×2
9=3×3
10=2×5
LCM of [16, 9, 10] = 2×2×2×2×3×3×5=720
1216=12×4516×45=540720
49=4×809×80=320720
610=6×7210×72=432720
Comparing numerators, 320720<432720<540720
∴49<610<1216
Question 8
_____ is a fraction between 29 and 619
1224
610
828
3240
SOLUTION
Solution : C
One fraction exisiting between ab and cd is a +cb +d.
Here, we have to insert a fraction between 29 and 619.
a = 2, b = 9, c = 6 and d = 19
One fraction exisiting between them is: 2 +69 +19 = 828
Question 9
Which of the following is a pair of like decimals?
SOLUTION
Solution : D
Decimal numbers having the same number of decimal places, i.e. decimals having the same number of digits on the right of the decimal point, are known as like decimals.
In the option with the numbers 9865.4946 and 28.4900, both decimal numbers have 4 digits in the decimal place.
Therefore, they are like decimals.
The rest of the options do not have same number of decimal places.
Question 10
Which of the following decimals are equal?
SOLUTION
Solution : A and C
A very important property of decimals is that adding zeros after the last digit of the decimal part of any decimal number does not change the value of the decimal.
Hence,
10.0101, 10.01010 and
0.1010, 0.1010000 are the right options