Somila foraketene wolo go bapella ditorakelene ka go , . 2. Beakanya diforakesene go tlaga go…

Question

Somila foraketene wolo go bapella ditorakelene ka go , . 2. Beakanya diforakesene go tlaga go tse kgolo ya go tse nnyane 3. Beakanya diforakesene go tlaga go tse nnyane go ya go tse kgolo.

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Here are the solutions for questions 2 and 3.

2. Beakanya diforakešene go tloga go tše kgolo go ya go tše nnyane (Arrange the fractions from largest to smallest):

a) $\frac{1}{3}, \frac{3}{4}, \frac{5}{8}, \frac{3}{5}$

Find the least common multiple (LCM) of the denominators 3, 4, 8, and 5.
LCM(3, 4, 8, 5) = 120.
Convert each fraction to an equivalent fraction with a denominator of 120.
$\frac{1}{3} = \frac{40}{120} \quad \frac{3}{4} = \frac{90}{120} \quad \frac{5}{8} = \frac{75}{120} \quad \frac{3}{5} = \frac{72}{120}$
Order the fractions from largest to smallest based on their numerators.
$\frac{90}{120}, \frac{75}{120}, \frac{72}{120}, \frac{40}{120}$
Write the ordered list using the original fractions.
$\boxed{\frac{3}{4}, \frac{5}{8}, \frac{3}{5}, \frac{1}{3}}$
b) $\frac{3}{6}, \frac{1}{3}, \frac{1}{4}, \frac{2}{5}$
Simplify $\frac{3}{6}$ to $\frac{1}{2}$ .
The fractions are $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{2}{5}$ . Find the LCM of 2, 3, 4, and 5.
LCM(2, 3, 4, 5) = 60.
Convert each fraction to an equivalent fraction with a denominator of 60.
$\frac{1}{2} = \frac{30}{60} \quad \frac{1}{3} = \frac{20}{60} \quad \frac{1}{4} = \frac{15}{60} \quad \frac{2}{5} = \frac{24}{60}$
Order the fractions from largest to smallest based on their numerators.
$\frac{30}{60}, \frac{24}{60}, \frac{20}{60}, \frac{15}{60}$
Write the ordered list using the original fractions.
$\boxed{\frac{3}{6}, \frac{2}{5}, \frac{1}{3}, \frac{1}{4}}$
c) $\frac{3}{8}, \frac{2}{7}, \frac{3}{7}, \frac{2}{6}$
Simplify $\frac{2}{6}$ to $\frac{1}{3}$ .
The fractions are $\frac{3}{8}, \frac{2}{7}, \frac{3}{7}, \frac{1}{3}$ . Find the LCM of 8, 7, and 3.
LCM(8, 7, 3) = 168.
Convert each fraction to an equivalent fraction with a denominator of 168.
$\frac{3}{8} = \frac{63}{168} \quad \frac{2}{7} = \frac{48}{168} \quad \frac{3}{7} = \frac{72}{168} \quad \frac{1}{3} = \frac{56}{168}$
Order the fractions from largest to smallest based on their numerators.
$\frac{72}{168}, \frac{63}{168}, \frac{56}{168}, \frac{48}{168}$
Write the ordered list using the original fractions.
$\boxed{\frac{3}{7}, \frac{3}{8}, \frac{2}{6}, \frac{2}{7}}$
3. Beakanya diforakešene go tloga go tše nnyane go ya go tše kgolo (Arrange the fractions from smallest to largest):

a) $\frac{5}{8}, \frac{3}{8}, \frac{7}{8}, \frac{6}{8}$
The fractions already have a common denominator of 8.
Order the fractions from smallest to largest based on their numerators.
$\frac{3}{8}, \frac{5}{8}, \frac{6}{8}, \frac{7}{8}$ $\boxed{\frac{3}{8}, \frac{5}{8}, \frac{6}{8}, \frac{7}{8}}$
b) $\frac{4}{5}, \frac{3}{4}, \frac{2}{3}, \frac{2}{7}$
Find the LCM of the denominators 5, 4, 3, and 7.
LCM(5, 4, 3, 7) = 420.
Convert each fraction to an equivalent fraction with a denominator of 420.
$\frac{4}{5} = \frac{336}{420} \quad \frac{3}{4} = \frac{315}{420} \quad \frac{2}{3} = \frac{280}{420} \quad \frac{2}{7} = \frac{120}{420}$
Order the fractions from smallest to largest based on their numerators.
$\frac{120}{420}, \frac{280}{420}, \frac{315}{420}, \frac{336}{420}$
Write the ordered list using the original fractions.
$\boxed{\frac{2}{7}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}}$
c) $\frac{5}{7}, \frac{4}{6}, \frac{3}{5}, \frac{2}{6}$
Simplify $\frac{4}{6}$ to $\frac{2}{3}$ and $\frac{2}{6}$ to $\frac{1}{3}$ .
The fractions are $\frac{5}{7}, \frac{2}{3}, \frac{3}{5}, \frac{1}{3}$ . Find the LCM of 7, 3, and 5.
LCM(7, 3, 5) = 105.
Convert each fraction to an equivalent fraction with a denominator of 105.
$\frac{5}{7} = \frac{75}{105} \quad \frac{2}{3} = \frac{70}{105} \quad \frac{3}{5} = \frac{63}{105} \quad \frac{1}{3} = \frac{35}{105}$
Order the fractions from smallest to largest based on their numerators.
$\frac{35}{105}, \frac{63}{105}, \frac{70}{105}, \frac{75}{105}$
Write the ordered list using the original fractions.
$\boxed{\frac{2}{6}, \frac{3}{5}, \frac{4}{6}, \frac{5}{7}}$

Somila foraketene wolo go bapella ditorakelene ka go <goba>, <goba> . 2. Beakanya diforakesene go tlaga go tse kgolo ya go tse nnyane 3. Beakanya diforakesene go tlaga go tse nnyane go ya go tse kgolo.

Step-by-step solution

Find the least common multiple (LCM) of the denominators 3, 4, 8, and 5.

Convert each fraction to an equivalent fraction with a denominator of 120.

Order the fractions from largest to smallest based on their numerators.

Write the ordered list using the original fractions.

Simplify $\frac{3}{6}$ to $\frac{1}{2}$ .

Convert each fraction to an equivalent fraction with a denominator of 60.

Order the fractions from largest to smallest based on their numerators.

Write the ordered list using the original fractions.

Simplify $\frac{2}{6}$ to $\frac{1}{3}$ .

Convert each fraction to an equivalent fraction with a denominator of 168.

Order the fractions from largest to smallest based on their numerators.

Write the ordered list using the original fractions.

The fractions already have a common denominator of 8.

Order the fractions from smallest to largest based on their numerators.

Find the LCM of the denominators 5, 4, 3, and 7.

Convert each fraction to an equivalent fraction with a denominator of 420.

Order the fractions from smallest to largest based on their numerators.

Write the ordered list using the original fractions.

Simplify $\frac{4}{6}$ to $\frac{2}{3}$ and $\frac{2}{6}$ to $\frac{1}{3}$ .

Convert each fraction to an equivalent fraction with a denominator of 105.

Order the fractions from smallest to largest based on their numerators.

Write the ordered list using the original fractions.

Still stuck on this one?

More Mathematics Questions

Somila foraketene wolo go bapella ditorakelene ka go <goba>, <goba> . 2. Beakanya diforakesene go tlaga go tse kgolo ya go tse nnyane 3. Beakanya diforakesene go tlaga go tse nnyane go ya go tse kgolo.

Step-by-step solution

Find the least common multiple (LCM) of the denominators 3, 4, 8, and 5.

Convert each fraction to an equivalent fraction with a denominator of 120.

Order the fractions from largest to smallest based on their numerators.

Write the ordered list using the original fractions.

Simplify 36\frac{3}{6}63​ to 12\frac{1}{2}21​.

Convert each fraction to an equivalent fraction with a denominator of 60.

Order the fractions from largest to smallest based on their numerators.

Write the ordered list using the original fractions.

Simplify 26\frac{2}{6}62​ to 13\frac{1}{3}31​.

Convert each fraction to an equivalent fraction with a denominator of 168.

Order the fractions from largest to smallest based on their numerators.

Write the ordered list using the original fractions.

The fractions already have a common denominator of 8.

Order the fractions from smallest to largest based on their numerators.

Find the LCM of the denominators 5, 4, 3, and 7.

Convert each fraction to an equivalent fraction with a denominator of 420.

Order the fractions from smallest to largest based on their numerators.

Write the ordered list using the original fractions.

Simplify 46\frac{4}{6}64​ to 23\frac{2}{3}32​ and 26\frac{2}{6}62​ to 13\frac{1}{3}31​.

Convert each fraction to an equivalent fraction with a denominator of 105.

Order the fractions from smallest to largest based on their numerators.

Write the ordered list using the original fractions.

Still stuck on this one?

More Mathematics Questions

Simplify $\frac{3}{6}$ to $\frac{1}{2}$ .

Simplify $\frac{2}{6}$ to $\frac{1}{3}$ .

Simplify $\frac{4}{6}$ to $\frac{2}{3}$ and $\frac{2}{6}$ to $\frac{1}{3}$ .