Question

multiply the following fractions: (a) 3 4/7× 3/5​

Answer 1

3 $\frac{4}{7}$ × 3/5

= 25/7 × 3/5

= 1/7 * 3/1

= 3/7

Answer 2

Answer:

$2 \times \frac{1}{7}$

Step-by-step explanation:

The fractions in the given question 3 4/7× 3/5 are

$3 \times \frac{4}{7} \: and \: \frac{3}{5}$

one fraction

$3 \times \frac{4}{7}$

is mixed fraction and another

$\frac{3}{5}$

is a proper fraction.

first we have to convert the mixed fraction to Improper Fraction, then we multiply.

$3 \times \frac{4}{7} = \frac{3 \times 7 + 4}{7}$

$= \frac{25}{7}$

$\frac{25}{7} \times \frac{3}{5}$

$= \frac{25 \times 3}{7 \times 5}$

$= \frac{75}{35}$

$= \frac{75 \div 5}{35 \div 5}$

$= \frac{15}{7}$

(Making it smallest fraction by deviding 5 both in numerator and denominator)

$= 2 \times \frac{1}{7}$

(convert it to mixed fraction)

Conclusion:

The value is

$2 \times \frac{1}{7}$

Note:

Types of Fraction:

Proper Fraction: The fraction in which numerator is smaller than the denominator, then it is called Proper fraction.

Example: 2/3, 5/7 etc

Improper Fraction:

The fraction in which numerator is greater than the denominator, then it is called Improper Fraction.

Example: 7/2, 9/5 etc.

Mixed fraction:

The fraction in which a whole number and proper fraction is present, then it is called Mixed Fraction.

Example: 2×1/7, 3×2/5 etc.