Question

Match the following.

Column A	Column B
$1 . \frac{8}{15}$	(a) Mixed fraction
$2 . \frac{14}{9}$	(b) Proper fraction in lowest form
$3 . 4 \frac{1}{7}$	(c) Improper fraction
$4 . \frac{3}{7}, \frac{4}{7}$	(d) Simplest form of $\frac{16}{30}$
$5 . \frac{2}{5}, \frac{2}{9}$	(e) Like fraction in lowest form
$6 . \frac{12}{18}, \frac{16}{24}$	(f) Unlike fraction in lowest form
$7 . \frac{2}{5}$	(g) Fraction equivalent to $\frac{2}{3}$

Accepted Answer

We need to match the following.

$1 . \frac{8}{15}$

Steps to Find Simplest Form:

Find the GCF of numerator and denominator of the fraction.

Divide the numerator and denominator by the produced GCF.

Write the simplified fraction of the given fraction.

$\frac{16 \div 2}{30 \div 2} = \frac{8}{15}$

Hence, Simplest form of $\frac{16}{30}$ is $\frac{8}{15}$ .

$2 . \frac{14}{9}$

A fraction in which the numerator is greater than the denominator is called an improper fraction.

Hence, $\frac{14}{9}$ is an improper fraction.

$3 . 4 \frac{1}{7}$

A mixed fraction is a type of fraction in which there is a whole number part and a fractional part.

Hence, $4 \frac{1}{7}$ is a mixed fraction.

$4 . \frac{3}{7}, \frac{4}{7}$

The group of two or more fractions that have exactly the same denominator are called like fractions.

Hence, $\frac{3}{7}, \frac{4}{7}$ are like fractions in the lowest form.

$5 . \frac{2}{5}, \frac{2}{9}$

Unlike fractions are fractions that have different denominators.

Hence, $\frac{2}{5}, \frac{2}{9}$ are unlike fractions in the lowest form.

$6 . \frac{12}{18}, \frac{16}{24}$

To find equivalent fractions, we multiply or divide the numerator and the denominator by the same number.

Equivalent fraction of $\frac{2}{3} = \frac{2 \times 6}{3 \times 6} = \frac{12}{18}, \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}$

Hence, Fraction equivalent to $\frac{2}{3}$ are $\frac{12}{18}, \frac{16}{24}$ .

$7 . \frac{2}{5}$

A proper fraction is a fraction whose numerator is smaller than its denominator.

Hence, $\frac{2}{5}$ is a proper fraction in the lowest term.

Matched table,

Column A Column B

$1 . \frac{8}{15}$ (d) Simplest form of $\frac{16}{30}$

$2 . \frac{14}{9}$ (c) improper fraction

$3 . 4 \frac{1}{7}$ (a) mixed fraction

$4 . \frac{3}{7}, \frac{4}{7}$ (e) Like fractions in lowest form

$5 . \frac{2}{5}, \frac{2}{9}$ (f) Unlike fractions in lowest form

$6 . \frac{12}{18}, \frac{16}{24}$ (g) Fraction equivalent to $\frac{2}{3}$

$7 . \frac{2}{5}$ (b) Proper fraction in lowest form

Hence, the matched table is shown above.

Rashmi Bhartiya Solutions for Chapter: Fractions, Exercise 1: Worksheet - 6

Rashmi Bhartiya Mathematics Solutions for Exercise - Rashmi Bhartiya Solutions for Chapter: Fractions, Exercise 1: Worksheet - 6

Questions from Rashmi Bhartiya Solutions for Chapter: Fractions, Exercise 1: Worksheet - 6 with Hints & Solutions

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