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katen-ka-za [31]
4 years ago
6

WILL GIVE BRAINLIEST IF YOU ANSWER

Mathematics
2 answers:
harina [27]4 years ago
6 0
\dfrac{(2 \frac{5}{6}+1.75) \times 0.14 }{2 \frac{1}{3} \times 1.1  : 1.6}

First, do the one between the parenthesis, change the fraction into improper fraction and equalize the denominators
= \dfrac{(\frac{17}{6}+ \frac{175}{100} ) \times 0.14 }{2 \frac{1}{3} \times 1.1  : 1.6}
= \dfrac{(\frac{1700}{600}+ \frac{1050}{600} ) \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6}
= \dfrac{\frac{2750}{600} \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6}
= \dfrac{\frac{275}{60} \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6}

Do the multiplication on the numerator, change 0.14 into proper fraction
= \dfrac{\frac{275}{60} \times  \frac{14}{100}  }{2 \frac{1}{3} \times 1.1 : 1.6}
= \dfrac{\frac{3850}{6000}}{2 \frac{1}{3} \times 1.1 : 1.6}

simplify
= \dfrac{\frac{77}{120}}{2 \frac{1}{3} \times 1.1 : 1.6}

do the multiplication on the denominators, change the fraction into proper/improper fraction
= \dfrac{\frac{77}{120}}{\frac{7}{3} \times  \frac{11}{10} : 1.6}
= \dfrac{\frac{77}{120}}{\frac{77}{30} : 1.6}

do the division, change decimal fraction into improper fraction
= \dfrac{\frac{77}{120}}{\frac{77}{30} :  \frac{16}{10} }

and turn the division into multiplication
= \dfrac{\frac{77}{120}}{\frac{77}{30} \times  \frac{10}{16} }
= \dfrac{\frac{77}{120}}{\frac{770}{480}}

simplify
= \dfrac{\frac{77}{120}}{\frac{77}{48}}

turn division of fraction into multiplication of fraction
= \frac{77}{120}:\frac{77}{48}
= \frac{77}{120} \times\frac{48}{77}
= \frac{48}{120}

simplify the result
= \frac{4}{10}
= 0.4

The result is 0.4
dusya [7]4 years ago
4 0
It's 1 12/275. Hope that it helps you!
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