Respuesta :

InesWalston

Answer:

Mr. Pham mowed [tex]\dfrac{1}{28}[/tex] more than his son.

Total lawn left unmowed [tex]\dfrac{13}{28}[/tex]

Step-by-step explanation:

Mr. Pham mowed [tex]\dfrac{2}{7}[/tex] of his lawn.

[tex]\dfrac{2\times 4}{7\times 4}=\dfrac{8}{28}[/tex]  (as multiplying same value in both numerator and denominator does not change the value of the fraction)

His son mowed [tex]\dfrac{1}{4}[/tex] of the lawn.

[tex]\dfrac{1\times 7}{4\times 7}=\dfrac{7}{28}[/tex]

Now comparing [tex]\dfrac{8}{28}[/tex] and [tex]\dfrac{7}{28}[/tex], we get

[tex]\dfrac{8}{28}>\dfrac{7}{28}[/tex]

As both denominators are same and numerator of later one is smaller than the former one.

Now,

[tex]=\dfrac{8}{28}-\dfrac{7}{28}\\\\=\dfrac{1}{28}[/tex]

Therefore, Mr. Pham mowed [tex]\dfrac{1}{28}[/tex] more than his son.

Total lawn mowed is,

[tex]=\dfrac{8}{28}+\dfrac{7}{28}\\\\=\dfrac{15}{28}[/tex]

Total lawn left unmowed,

[tex]=1-\dfrac{15}{28}\\\\=\dfrac{13}{28}[/tex]

BladeRunner212
  • Mr. Pham mowed more of the lawn than his son.
  • it still needs ¹³/₂₈ of the lawn to be mowed.

Further explanation

Given:

  • Mr. Pham mowed [tex]\frac{2}{7}[/tex] of his lawn.
  • His son mowed [tex]\frac{1}{4}[/tex] of the lawn.

Question:

  • Who mowed more of the lawn?
  • How much of the lawn still needs to be mowed?

The Process:

Step-1

We must equate the denominator of the fractions, to find out who mowed more of the lawn.

Notice the denominator of the two fractions is 7 and 4. The least common multiple (LCM) of 7 and 4 is 28.

  • [tex]\boxed{ \ Mr. Pham: \frac{2}{7} \times \frac{4}{4} = \frac{8}{28} \ }[/tex]
  • [tex]\boxed{ \ His \ son: \frac{1}{4} \times \frac{7}{7} = \frac{7}{28} \ }[/tex]

Since [tex]\boxed{ \ \frac{8}{28} > \frac{7}{28} \ }[/tex], then Mr. Pham mowed more of the lawn than his son.

Step-2

Let us add up the fractions of the work done by Mr. Pham and his son.

[tex]\boxed{ \ \frac{8}{28} + \frac{7}{28} = \frac{15}{28} \ }[/tex]

So, that is the total work of Mr. Pham and his son.

We must subtract their total work from the whole lawn, to find out how much of the lawn still needs to be mowed.

[tex]\boxed{ \ one \ part - \frac{15}{28} = \ ? \ }[/tex]

[tex]\boxed{ \ 1 - \frac{15}{28} = \ ? \ }[/tex]

[tex]\boxed{ \ = \frac{28}{28} - \frac{15}{28} \ }[/tex]

[tex]\boxed{ \ = \frac{13}{28} \ }[/tex]

Thus, it still needs [tex]\frac{13}{28}}[/tex] of the lawn to be mowed.

Learn more

  1. How many total yards did he have?  brainly.com/question/2443310
  2. What fraction of the property is used for the garden?  brainly.com/question/1011853  
  3. Create and solve a story problem about two friends and their weekly allowance brainly.com/question/2968321

Keywords: Mr. Pham, his son, mowed 2/7 of his lawn, 1/4, LCM, who mowed more, how much, still needs to be mowed, subtract, total work

Otras preguntas