Question

c) Mohan gave a wooden board of length 160 3/4 cm to a carpenter for making a shelf
The carpenter sawed off a piece of 130 2/5 cm from it. What is the length of the
remaining piece?​

Answer 1

30.35

Step-by-step explanation:

length of Mohan gave a wooden board is-160 3/4

length of carpenter sawed off piece is - 130 2/5

30.35

therefore the carpenter remained peace is-30.35

Answer 2

Given,

Initial length of wooden board = 160¾ cm

Length of sawed off piece = 130⅖ cm

To find,

Length of the remaining piece.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

We will convert the given measurements into improper fractions, for the sake of easier calculations.

So,

Initial length of the wooden board :

$= 160 \frac{3}{4} \: cm$

Lem

$= \frac{(160 \times 4) + 3}{4}$

$= \frac{640 + 3}{4}$

$= \frac{643}{4} cm$

And,

Length of sawed off piece :

$= 130 \frac{2}{5} \: cm$

$= \frac{(130 \times 5) + 2}{5}$

$= \frac{650 + 2}{5}$

$= \frac{652}{5} cm$

Now, length of the remaining piece :

$= \frac{643}{4} - \frac{652}{5}$

$= \frac{(643 \times 5) - (652 \times 4)}{20}$

$= \frac{3215 - 2608}{20}$

$= \frac{607}{20}$

$= 30 \frac{7}{20} cm$

(This will be considered as the final result.)

Hence, length of the remaining piece is 30⁷/₂₀ cm