Question

simplify: (16/15 ÷ 8/20) + (9/5 x 10/3)​

Answer 1

Answer:

26/3

hope it helps!!!

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Step-by-step explanation:

BODMAS :

brackets; of; division; multiplication; addition; subtraction

- order in which we have to solve these qs

refer the given attachment

Answer 2

Question

Simplify :- $\sf (\frac{16}{15}\div \frac{8}{20})+(\frac{9}{5} \times \frac{10}{3})$

$\rule{300}{1}$

Answer

For the given question, we must apply BODMAS. So basically, BODMAS is an acronym for Brackets, Of, Division, Multiplication, Addition and Subtraction. We solve a question in the order of BODMAS.

So, keeping this property in mind, let's solve your question step-by-step.

$\sf (\frac{16}{15}\div \frac{8}{20})+(\frac{9}{5} \times \frac{10}{3})$

Step 1: Do the brackets. For division of fractions, we take the reciprocal of the divisor or second number and multiply the fractions. For multiplying fractions we directly multiply the numerator and denominator.

$\sf (\frac{16}{15}\div \frac{8}{20})+(\frac{9}{5} \times \frac{10}{3})$

$\sf (\frac{16}{15}\times \frac{20}{8})+(\frac{9}{5} \times \frac{10}{3})$

$\sf (\frac{16\div 8 }{15\div 5 }\times \frac{20\div 5 }{8\div 8 })+(\frac{9\div 3 }{5\div 5 } \times \frac{10\div 5 }{3\div 3 })$

$\sf (\frac{2 }{3 }\times \frac{4 }{1 })+(\frac{3 }{1} \times \frac{2}{1 })$

$\sf \frac{8 }{3 }+\frac{6 }{1}$

Step 2: Do addition. For adding two fractions we find the LCM of the denominators and make them equal. Then we add the numerators and let the denominator be the same.

$\sf \frac{8 }{3 }+\frac{6 }{1}$

LCM of 3 and 1 = 3

$\sf \frac{8\times 1 }{3\times 1 }+\frac{6\times 3 }{1\times 3 }$

$\sf \frac{8 }{3 }+\frac{18}{3 }$

$\sf \frac{26}{3 }$

∴ $\bf (\frac{16}{15}\div \frac{8}{20})+(\frac{9}{5} \times \frac{10}{3}) = \frac{26}{3}$

$\rule{300}{1}$