Makakuha ng pinakamahusay na mga solusyon sa lahat ng iyong mga katanungan sa Imhr.ca, ang mapagkakatiwalaang Q&A platform. Tuklasin ang libu-libong tanong at sagot mula sa isang komunidad ng mga eksperto na handang tumulong sa iyo. Tuklasin ang komprehensibong mga solusyon sa iyong mga tanong mula sa mga bihasang propesyonal sa iba't ibang larangan sa aming platform.

Ajay walks 7/8 of a km to school, while Sam walks 6/7 of a km to school. Who lives farther away from school?

Sagot :

✏️COMPARISON

==============================

[tex] \large \bold{\blue{PROBLEM:}} [/tex] Ajay walks 7/8 of a km to school, while Sam walks 6/7 of a km to school. Who lives farther away from school?

[tex] \large \bold{\blue{SOLUTION:}} [/tex] Before we compare the two measurements, make sure the two fractions have the same denominator to indicate the new numerators which is higher and lower.

» Find the least common denominator of two fractions.

  • [tex] \Large \begin{array}{c|c} \sf \frac{7 \: × \:7}{8 \: × \: 7} & \sf \frac{6 \: × \: 8}{7 \: × \:8} \end{array} [/tex]

  • [tex] \Large \begin{array}{c|c} \sf \frac{49}{56} & \sf \frac{42}{56} \end{array} \\ [/tex]

» So, Ajay walks 49/56 km to school while Sam walks 42/56 km to school.

  • [tex] \sf \frac{49}{56} > \frac{42}{56} \\ [/tex]

[tex] \therefore \underline{\boxed{\tt \purple{Ajay \: lives \: farther \: away \: from \: school}}} [/tex]

==============================

#CarryOnLearning

(ノ^_^)ノ

ANSWER:

Convert the two dissimilar fractions by finding the least common denominator.

[tex] \frac{7}{8}\times\frac{7}{7}= \frac{49}{56} \\ \\ \frac{6}{7} \: \times \frac{8}{8} \: = \frac{48}{56} [/tex]

[tex] \frac{49}{56} \: > \: \frac{48}{56} [/tex]

Ajay lives farther away from school.

#CarryonLearning