Locate the following points on a number line. 1 6 , 3 6 , 5 6 , 6 6

Given, The points are 1 6 , 3 6 , 5 6 , 6 6 . A number line is a picture of a graduated straight line that serves as an abstraction for real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point. We divide the length between 0 and 1 in 6 equal parts, where each part represents 1 6 . Now, let us locate the given points on a number line: ` ` 0 1 6 3 6 5 6 6 6 Thus, the above is the required number line.

Locate the following points on a number line. 1 10 , 2 10 , 5 10 , 7 10

Given, The points are 1 10 , 2 10 , 5 10 , 7 10 . A number line is a picture of a graduated straight line that serves as an abstraction for real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point. We divide the length between 0 and 1 in 10 equal parts, where each part represents 1 10 . Now, let us locate the given points on a number line: ` ` Thus, the above is the required number line.

Express the following as mixed fraction: 35 8

Given, The fraction is 35 8 . A Mixed Fraction is a whole number and a proper fraction combined. To express the given fraction as mixed fraction, we follow the below steps: (i) If the fraction's numerator is greater than the denominator (an improper fraction), then the whole portion is obtained by dividing the numerator by the denominator. (ii) The numerator of the mixed fraction is the remainder of the division. (iii) The denominator is the same as the denominator of the original fraction. Mixed Fraction = Quotient × Remainder Divisor Therefore, we divide 35 by 8 : 4 8 3 5 - 3 2 3 Therefore, the mixed fraction will be 4 3 8 .

Express the following as mixed fraction: 21 6

Given, The fraction is 21 6 . A Mixed Fraction is a whole number and a proper fraction combined. To express the given fraction as mixed fraction, we follow the below steps: (i) If the fraction's numerator is greater than the denominator (an improper fraction), then the whole portion is obtained by dividing the numerator by the denominator. (ii) The numerator of the mixed fraction is the remainder of the division. (iii) The denominator is the same as the denominator of the original fraction. Mixed Fraction = Quotient × Remainder Divisor Therefore, we divide 21 by 6 : 3 6 2 1 - 1 8 3 Therefore, the mixed fraction will be 3 3 6 .

Express the following as mixed fraction: 45 7

Given, The fraction is 45 7 . A Mixed Fraction is a whole number and a proper fraction combined. To express the given fraction as mixed fraction, we follow the below steps: (i) If the fraction's numerator is greater than the denominator (an improper fraction), then the whole portion is obtained by dividing the numerator by the denominator. (ii) The numerator of the mixed fraction is the remainder of the division. (iii) The denominator is the same as the denominator of the original fraction. Mixed Fraction = Quotient × Remainder Divisor Therefore, we divide 45 by 7 : 6 7 4 5 - 4 2 3 Therefore, the mixed fraction will be 6 3 7 .

E M B I B E

START UP MATHEMATICS>Chapter 7 - Fractions>EXERCISE 7.1>Q 1

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What fraction of an hour is $25$ minutes?

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Important Questions on Fractions

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START UP MATHEMATICS>Chapter 7 - Fractions>EXERCISE 7.1>Q 2

What fraction of a week is $3$ days?

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START UP MATHEMATICS>Chapter 7 - Fractions>EXERCISE 7.1>Q 3

A painter is required to make $21$ portraits for a business tycoon. He has already made $14$ of them. What fraction of the total portraits has he made so far?

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START UP MATHEMATICS>Chapter 7 - Fractions>EXERCISE 7.1>Q 4

Write natural numbers from $1$ to $50$ . What fraction of them are prime numbers?

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START UP MATHEMATICS>Chapter 7 - Fractions>EXERCISE 7.1>Q 5

Locate the following points on a number line.

$\frac{1}{6}, \frac{3}{6}, \frac{5}{6}, \frac{6}{6}$

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