Fractions are be used to specify the proportional relationships between
the mowing area of the lawn.
Mr. Pham mowed the most.
The fraction of the lawn that still needs to be mowed is [tex]\dfrac{13}{28}[/tex].
Reason:
The given parameters are;
The proportion of the lawn Mr. Pham mowed = 2/7 of the lawn
The proportion of the lawn mowed by his son = 1/4
Required:
The one that mowed most of the lawn, out of Mr. Pham and his son
Solution;
[tex]\dfrac{1}{4} = \dfrac{1 \times 2}{4 \times 2} = \dfrac{2}{8}[/tex]
The proportion of the lawn mowed by his son = [tex]\dfrac{1}{4}[/tex] = [tex]\dfrac{2}{8}[/tex]
Given that the denominator of [tex]\dfrac{2}{8}[/tex], is larger than [tex]\dfrac{2}{7}[/tex], and the fraction with
equal numerator and larger denominator is smaller, we have;
[tex]\dfrac{2}{8} \ is \ smaller \ than\ \dfrac{2}{7}[/tex]
Therefore;
[tex]\dfrac{2}{7} \ is \ larger \ than\ \dfrac{2}{8}[/tex]
The portion of the land mowed by Mr. Pharm is larger than the portion mowed by son.
Therefore, Mr. Pham mowed the most.
Required:
The portion of the lawn that still needs mowing.
Solution:
The remaining portion of the lawn is [tex]1 - \left(\dfrac{2}{7} + \dfrac{1}{4} \right) = \dfrac{13}{28}[/tex]
Therefore, [tex]\dfrac{13}{28}[/tex] of the lawn still needs to be mowed.
Learn more here:
https://brainly.com/question/20628409
