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MATHS BLANKS [1 Marks Each]

Fractions and Decimals · Gujarat Board (GSEB) STD 6 (GSEB - English Medium). 19 questions.

Questions

BLANKS [1 Marks Each]

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19 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
$8\frac27$ is equal to the improper fraction ______.
Answer
We know that, Mixed fraction = Improper fraction.
$=\frac{\text{Whole number}\times\text{Denominator}+\text{Numerator}}{\text{Denominator}}$
$\therefore8\frac27=\frac{8\times7+2}{7}=\frac{58}{7}$
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Question 21 Mark
A number representing a part of a _________ is called a fraction.
Answer
A number representing a part of a Whole is called a fraction.Solution:
By definition, a fraction is a number representing a part of a whole.
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Question 31 Mark
$\frac58$ and $\frac38$ are ______ proper fractions.
Answer
$\frac58$ and $\frac38$ are Like proper fractions. Solution:Since, fractions having the same denominators are called like fractions and fractions whose numerator is less than the denominator is called a proper fraction.
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Question 41 Mark
The fraction $\frac{17}{34}$ in simplest form is ______.
Answer
In order to reduce a fraction to its lowest terms, we divide its numerator and denominator by their $HCF.$
$\frac{17}{34}=\frac{17\div17}{34\div17}=\frac12[\because HCF$ of $17$ and $34$ is $17]$
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Question 51 Mark
Fractions with the same denominator are called _________ fractions.
Answer
Fractions with the same denominator are called Like fractions. 
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Question 61 Mark
Fraction $\frac{7}{25}$ is equal to the decimal number ______.
Answer
In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator $10$ or $10$0 or $1000 $ and then write its numerator and mark decimal point after one place or two place or three places from right towards left if the denominator is $10$ or $10$0 or $1000,$ respectively. If the numerator is short of digits, insert zeroes at the left of the numerator. $\frac{7}{25}=\frac{7\times4}{25\times4}=0.28$
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Question 71 Mark
$\frac{67}{14}-\frac{24}{14}=$ ____________.
Answer
We have, $\frac{67}{14}-\frac{24}{14}=\frac{67-24}{14}=\frac{43}{14}$
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Question 81 Mark
$\frac{17}{2}+3\frac12=$ _______________.
Answer
 We have, $\frac{17}{2}+3\frac13=\frac{17}{2}+\frac{3\times2+1}{2}$ [$\because$ Mixed fraction = Improper fraction]
$=\frac{(\text{Whole number}\times\text{Denominator}+\text{Numerator})}{\text{Denominator}}$
$=\frac{17}{2}+\frac{7}{2}=\frac{17+7}{2}=\frac{24}{2}=\frac{24\div2}{2\div2}[\because HCF$ of $24$ and $2$ is $2]$
$=12$
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Question 91 Mark
$\frac{87}{7}$ is equal to the mixed fraction $.....$
Answer
In order to express an improper fraction as a mixed fraction, we first divide the numerator by denominator and obtain the quotient and remainder and then we write the mixed fraction as$:$
$\text{Quotient}\ \frac{\text{Remainder}}{\text{Denominator}}$
$\frac{87}{7}=12\frac{3}{7}$
$\left[\begin{array}{c}\because 7) 87(12 \\ \frac{-7}{17} \\ \frac{-14}{3}\end{array}\right]$
 
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Question 101 Mark
$\frac{18}5{}$ is an ______ fraction.
Answer
Since, a fraction whose numerator is more than or equal to the denominator is called an improper fraction.
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Question 111 Mark
The fraction $\frac{6}{15}$ in simplest form is ______.
Answer
In order to reduce a fraction to its lowest terms,
we divide its numerator and denominator by their $HCF.$
$\frac{6}{15}=\frac{6\div3}{15\div3}=\frac{2}{5}[\because HCF$ of $6$ and $15$ is $3]$
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Question 121 Mark
Decimal $16.25$ is equal to the fraction ______.
Answer
We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with $1$ as there are numbers of places in the decimal part. Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their $HCF.$
$16.25=\frac{1625}{100}=\frac{1625\div25}{100\div25}=\frac{65}{4}[\because HCF $ of $1625$ and $100$ is $25]$
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Question 131 Mark
$13\frac{5}{18}$ is a _________ fraction.
Answer
Since, a combination of a whole number and a proper fraction is called a mixed fraction.
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Question 141 Mark
$3$ Hundredths $+\ 3$ tenths $=$ ______.
Answer
$3$ hundredths $+$ tenths $=3\times\frac{1}{100}+3\times\frac{1}{10}=0.03+0.3$
$=0.33$
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Question 151 Mark
$8.76 - 2.68 =$ ______.
Answer
We have, $\ \ \ \ 8.76\\\underline{-\ 2.68\ \ \ }\\ \underline{\ \ \ \ 6.08\ \ \ }$
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Question 161 Mark
A fraction with denominator greater than the numerator is called a _________ fraction.
Answer
A fraction with denominator greater than the numerator is called a Proper fraction.
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Question 171 Mark
The value of $50$ coins of $50$ paisa $= Rs$ ______.
Answer
Value of $1$ coin of $50$ paise $= 50$ paise
Value of $50$ coins of $50$ paise $= 50$ paise $\times \ 50 = 2500$ paise
Now, we know that $1$
$Rs. = 100 $ paise In order to convert paise to rupee,
we divide the given value by $100.$
$2500 paise = Rs. = Rs.25$
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Question 181 Mark
$\frac6{11}$ and $\frac6{13}$ are ______ proper fractions.
Answer
Since, fractions having different denominators are called unlike fractions and fractions whose numerator is less than the denominator is called a proper fraction.
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