The value of 3/7 multiply 0.1 divided by 5/21 is 9/50 in the fraction form and 0.18 in the desimal form.
What is the fraction number?
Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
The value of 3/7 multiply 0.1 divided by 5/21 has to be find out. Let the value of the given statement is n.
To find its value, first write down it in the equation form,
[tex]n=\left( \dfrac{3}{7}\times0.1\right)\div\dfrac{5}{21}[/tex]
Now the desimal number 0.1 can be written as 1/10 in the fractional form. Thus, the equation become,
[tex]n=\left( \dfrac{3}{7}\times\dfrac{1}{10}\right)\div\dfrac{5}{21}[/tex]
The sign of divide can be changed into the multiply by changing the place of denominator and numberator as,
[tex]n=\left( \dfrac{3}{7}\times\dfrac{1}{10}\right)\times\dfrac{21}{5}\\n=\dfrac{3}{7}\times\dfrac{1}{10}\times\dfrac{21}{5}\\n=\dfrac{3}{7}\times\dfrac{1}{10}\times\dfrac{21}{5}\\n=\dfrac{9}{50}\\n=0.18[/tex]
Thus, the value of 3/7 multiply 0.1 divided by 5/21 is 9/50 in the fraction form and 0.18 in the desimal form.
Learn more about the fraction number here:
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