Arrange the following fractions in ascending order. Calculate without using a calculator, show all the steps…

Question

Arrange the following fractions in ascending order. Calculate without using a calculator, show all the steps. You would like to give 20% of your 45 marbles to your best friend. How many marbles would you give to your friend?

ScanSolve AI Tutor · Accepted Answer

Alright, Sindura, let's solve Question 3.2.

2: Calculate: $\frac{2}{5} + \frac{1}{3}$

Find the least common multiple (LCM) of the denominators (5 and 3).
The LCM of 5 and 3 is 15.
Convert each fraction to an equivalent fraction with a denominator of 15.
For $\frac{2}{5}$ : Multiply the numerator and denominator by 3.
$\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}$
For $\frac{1}{3}$ : Multiply the numerator and denominator by 5.
$\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}$
Add the equivalent fractions.
$\frac{6}{15} + \frac{5}{15} = \frac{6+5}{15} = \frac{11}{15}$
The sum is $\frac{11}{15}$ .

Arrange the following fractions in ascending order. Calculate without using a calculator, show all the steps. You would like to give 20% of your 45 marbles to your best friend. How many marbles would you give to your friend?

Answer

Step-by-step solution

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

Convert each fraction to an equivalent fraction with a denominator of 15.

Add the equivalent fractions.

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