Question

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Answer 1

Step-by-step explanation:

Total length of cloth =

$5 \frac{5}{7} = \frac{40}{7}$ m

Length of cloth that was cut =

$3 \frac{9}{11} = \frac{42}{11}$ m

To find the length of cloth that remain = 40/7 - 42/11

=

$1 \frac{69}{77}$ m

Answer 2

➤ Given :-

Total measurement of cloth :- ${\tt 5 \dfrac{5}{7}}$ m

Measurement of cloth cut off :- ${\tt 3 \dfrac{9}{21}}$ m

➤ To Find :-

Measurement of cloth remaining.............

➤ Solution :-

To find the measurement of cloth remaining, we should subtract the total measurement and measurement of cloth used...............

Measurement of cloth remaining :-

${ \tt \longrightarrow 5 \dfrac{5}{7} - 3 \dfrac{9}{21}}$

Convert them into improper fractions so that the calculation becomes easier.............

${\tt \longrightarrow \dfrac{40}{7} - \dfrac{72}{21}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 7 and 21.

LCM of 7 and 21 is 21.

${\tt \longrightarrow \dfrac{40 \times 3}{7 \times 3} - \dfrac{72}{21}}$

${\tt \longrightarrow \dfrac{120}{21} - \dfrac{72}{21} = \dfrac{120 - 72}{21}}$

${\tt \longrightarrow \dfrac{48}{21} = \boxed{\tt 2 \dfrac{6}{21}}}$

$\Huge\therefore$ The measurement of cloth remaining is ${\tt 2 \dfrac{6}{21}}$ metres.

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More to know.................

• While adding or subtracting the fractions, if the given fractions are mixed fractions we should convert them into improper fractions by multiplying the denominator and whole number and then by adding the numerator.
• While adding or subtracting the fractions, if the given fractions are unlike fractions we should convert them into like fractions by taking the LCM of the denominators.
• While adding or subtracting the fractions, if the given fractions are like fractions we can solve them easily.