Respuesta :

PaolaIsa05
Soo 1/4 is equal to 5/20 and 3/5 is equal to 12/20 and you add the two sooo 17/20 but you wanna find how much is left to mow soo 1 - 17/20 is 3/20
So the answer is
3/20

[tex]\dfrac{3}{20}[/tex]  of the lawn is left to mow.

Given that:

  • Firstly, Nick mowed about [tex]\dfrac{3}{5}[/tex] of the lawn.
  • Then mowed [tex]\dfrac {1}{4}[/tex]  of the lawn.

To find:

Size of remaining part of the lawn to be mowed.

Calculations:

Remaining part = Total part - mowed part.

Total part is 1 lawn.

Mowed part  = Mowed amount in first turn + mowed amount in second turn.

[tex]\text{Mowed Part} = \dfrac{3}{5} +\dfrac{1}{4}\\\\\text{Mowed Part} = \dfrac{3 \times 4}{5 \times 4} + \dfrac{1 \times 5}{4 \times 5}\\\\\text{Mowed Part} = \dfrac{12}{20} + \dfrac{5}{20}\\\\\text{Mowed Part} = \dfrac{12 + 5}{20}\\\\\text{Mowed Part} = \dfrac{17}{20}[/tex]

Thus, we have:

[tex]\text{Remaining Part} = 1 - \dfrac{17}{20}\\\\\text{Remaining Part} = \dfrac{20}{20} - \dfrac{17}{20}\\\\\text{Remaining Part} = \dfrac{20-17}{20}\\\\\text{Remaining Part} = \dfrac{3}{20}[/tex]

Thus, total 3/20 part of lawn is remaining to be mowed.

Learn more about fractions here:

https://brainly.com/question/483643

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