Question

multiply and reduce to lowest form 1/3*15/8

Answer 1

1/3×15/8
15/24
=5/8
5/8 is the lowest form

Answer 2

Lowest form of $\frac{1}{3}\times\ \frac{15}{8}=\frac{5}{8}$

Given : $\frac{1}{3}\times\ \frac{15}{8}$

To find: The lowest form of $\frac{1}{3}\times\ \frac{15}{8}$

Concept used:

• The lowest form of a fraction means that we can not further divide the numerator and denominator by any single number.
• Here we have to make it in the lowest form after multiplying the given number and then taking the HCF of both the numbers and dividing by their HCF. HCF (15, 24) = 3

Solution :

Step 1 of 2: Multiply the given numbers :

As we know from the rule of Multiplication of fractions:

$Product \ of \ Fraction =\frac{Product \ of \ numerator}{Product \ of \ Denominator}$

$\frac{1}{3}\times\ \frac{15}{8} = \frac{1\times 15}{3 \times 8}$

$\frac{1}{3}\times\ \frac{15}{8}= \frac{15}{24}$

Step 2 of 2: Divide the numbers by their HCF i.e 3.

$\frac{1}{3}\times\ \frac{15}{8}= \frac{15/3}{24/3}$

$\frac{1}{3}\times\ \frac{15}{8} = \frac{5}{8}$

Hence, the Lowest form of $\frac{1}{3}\times\ \frac{15}{8}=\frac{5}{8}$

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