Practice the problems of Math in Focus Grade 6 Workbook Answer Key Chapter 6 Percent to score better marks in the exam.

## Math in Focus Grade 6 Course 1 A Chapter 6 Answer Key Percent

### Math in Focus Grade 6 Chapter 6 Quick Check Answer Key

**Find the missing numerators and denominators.**

Question 1.

\(\frac{4}{5}\) = \(\frac{8}{?}\) = \(\frac{?}{100}\)

Answer:

\(\frac{4}{5}\) = \(\frac{8}{10}\) = \(\frac{80}{100}\)

Explanation:

To find the missing numerator denominator we use multiplication or division.

In all equivalent fractions, both the numerator and denominator of the first fraction can be multiplied or divided by the same number to get the numerator and denominator of the second fraction.

\(\frac{4}{5}\) = \(\frac{8}{?}\) = \(\frac{?}{100}\)

In the given fraction both numerator and denominator are multiplied with 2 and 10 to get equivalent fraction.

\(\frac{4}{5}\) = \(\frac{8}{10}\) = \(\frac{80}{100}\)

Question 2.

\(\frac{9}{25}\) = \(\frac{18}{?}\) = \(\frac{?}{100}\)

Answer:

\(\frac{9}{25}\) = \(\frac{18}{50}\) = \(\frac{36}{100}\)

Explanation:

To find the missing numerator denominator we use multiplication or division.

In all equivalent fractions, both the numerator and denominator of the first fraction can be multiplied or divided by the same number to get the numerator and denominator of the second fraction.

\(\frac{9}{25}\) = \(\frac{18}{?}\) = \(\frac{?}{100}\)

In the given fraction both numerator and denominator are multiplied with 2 to get equivalent fraction.

\(\frac{9}{25}\) = \(\frac{18}{50}\) = \(\frac{36}{100}\)

**Express each fraction in simplest form.**

Question 3.

\(\frac{48}{100}\)

Answer:

\(\frac{12}{25}\)

Explanation:

Divide the numerator and the denominator with highest common factor to get their simple form.

The highest common factor of 48 and 100 is 4.

Question 4.

\(\frac{180}{240}\)

Answer:

\(\frac{3}{4}\)

Explanation:

Divide the numerator and the denominator with highest common factor to get their simple form.

The highest common factor of 180 and 240 is 60.

**Express each fraction as a decimal.**

Question 5.

\(\frac{15}{100}\)

Answer:

0.15

Explanation:

A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one.

A fraction represents a part of a whole number.

A fraction is a ratio between the numerator and the denominator.

If the denominator has 10, 100, 1000 … write down just the top number,

putting the decimal point in the correct spot i.e., one space from the right hand side for every zero in the bottom number.

Question 6.

\(\frac{3}{10}\)

Answer:

0.3

Explanation:

A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one.

A fraction represents a part of a whole number.

A fraction is a ratio between the numerator and the denominator.

If the denominator has 10, 100, 1000 … write down just the top number,

putting the decimal point in the correct spot i.e., one space from the right hand side for every zero in the bottom number.

Question 7.

\(\frac{2}{5}\)

Answer:

0.4

Explanation:

A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one.

A fraction represents a part of a whole number.

A fraction is a ratio between the numerator and the denominator.

If the denominator has 10, 100, 1000 … write down just the top number,

putting the decimal point in the correct spot i.e., one space from the right hand side for every zero in the bottom number.

Question 8.

\(\frac{7}{20}\)

Answer:

0.35

A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one.

A fraction represents a part of a whole number.

A fraction is a ratio between the numerator and the denominator.

If the denominator has 10, 100, 1000 … write down just the top number,

putting the decimal point in the correct spot i.e., one space from the right hand side for every zero in the bottom number.

Question 9.

\(\frac{39}{300}\)

Answer:

0.19

Explanation:

A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one.

A fraction represents a part of a whole number.

A fraction is a ratio between the numerator and the denominator.

If the denominator has 10, 100, 1000 … write down just the top number,

putting the decimal point in the correct spot i.e., one space from the right hand side for every zero in the bottom number.

Question 10.

\(\frac{25}{125}\)

Answer:

0.2

Explanation:

Multiply the numerator and denominator of the fraction by a number that makes the denominator a power of 10.

Count the number of 0s in the power of 10 in the denominator;

the number of 0s will be referred to as n.

Count n decimal spaces from the right-most digit of the numerator,

where each digit represents one decimal place,

then write a decimal point; if n is greater than the number of digits in the numerator,

write a 0 in the empty decimal place.

\(\frac{25}{125}\) x \(\frac{10}{10}\)

\(\frac{250}{1250}\) =\(\frac{10}{50}\)

\(\frac{1}{5}\) = 0.2

**Find each product.**

Question 11.

\(\frac{3}{7}\) × 42

Answer: 18

Explanation:

To find the product of a unit fraction and a whole number,

We first write the whole number as a fraction, 42 is written as \(\frac{42}{1}\)

We then multiply the numerators and then the denominators of both fractions to get the product. If any simplification or cross cancelling is required, it is done and final answer is written.

\(\frac{3}{7}\) x \(\frac{42}{1}\)

= \(\frac{126}{7}\) = 18

Question 12.

\(\frac{3}{22}\) × 33

Answer:

4.5

Explanation:

To find the product of a unit fraction and a whole number,

We first write the whole number as a fraction, 33 is written as \(\frac{33}{1}\)

We then multiply the numerators and then the denominators of both fractions to get the product. If any simplification or cross cancelling is required, it is done and final answer is written.

\(\frac{3}{22}\) x \(\frac{33}{1}\)

= \(\frac{99}{22}\) = 4.5

Question 13.

\(\frac{5}{6}\) × 54

Answer:

45

Explanation:

To find the product of a unit fraction and a whole number,

We first write the whole number as a fraction, 54 is written as \(\frac{54}{1}\)

We then multiply the numerators and then the denominators of both fractions to get the product. If any simplification or cross cancelling is required, it is done and final answer is written.

\(\frac{5}{6}\) x \(\frac{54}{1}\)

= \(\frac{270}{6}\) = 45

Question 14

\(\frac{6}{25}\) × 40

Answer:

9.6

Explanation:

To find the product of a unit fraction and a whole number,

We first write the whole number as a fraction, 40 is written as \(\frac{40}{1}\)

We then multiply the numerators and then the denominators of both fractions to get the product. If any simplification or cross cancelling is required, it is done and final answer is written.

\(\frac{6}{25}\) x \(\frac{40}{1}\)

= \(\frac{240}{25}\) = 9.6

Question 15.

\(\frac{7}{9}\) × 30

Answer:

23.3

Explanation:

To find the product of a unit fraction and a whole number,

We first write the whole number as a fraction, 30 is written as \(\frac{30}{1}\)

We then multiply the numerators and then the denominators of both fractions to get the product. If any simplification or cross cancelling is required, it is done and final answer is written.

\(\frac{7}{9}\) x \(\frac{30}{1}\)

= \(\frac{210}{9}\) = 23.3

Question 16.

\(\frac{9}{24}\) × 56

Answer:

21

Explanation:

To find the product of a unit fraction and a whole number,

We first write the whole number as a fraction, 56 is written as \(\frac{56}{1}\)

We then multiply the numerators and then the denominators of both fractions to get the product. If any simplification or cross cancelling is required, it is done and final answer is written.

\(\frac{9}{24}\) x \(\frac{56}{1}\)

= \(\frac{504}{24}\) = 21