Question

1) standard form of -7/-35 is ____
2) 36/72 can be expressed as a rational number with denominator 2 (True/False)
3) -25/100 is equivalent to ___ (1/4 ,3/4 ,-1/4 ,-3/5)
4) if a,b and c are the rational numbers such that a<b and b<c, then ____ ( a>c, a=c, a=b, a<c)
5) sum of 5/8 of 560 and 7/81 of 810 is ___
6) 4/15 ÷ (-7/21)=___
7) 3.21 × 5=__​

Answer 1

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1)standard form of -7/-35 is 1/5

2)36/72 can be expressed as a rational number with denominator 2 - True

3)-25/100 is equivalent to -1/4

4)if a,b and c are the rational numbers such that a<b and b<c, then a<c

5)$\sf \: lets \: do :$

$= \sf \frac{5}{8} \times 560 + \frac{7}{81} \times 810$

$= \sf \frac{5}{{ \cancel8}} \times { \cancel {560}} + \frac{7}{ \cancel {81}} \times { \cancel{810}}$

$= \sf 5 \times 70+ 7 \times 10$

$= \sf 350+ 70$

$= \sf 420$

∴ sum of 5/8 of 560 and 7/81 of 810 is 420

6)$\sf lets \: do :$

$\sf \frac{4}{15} \div \frac{ - 7}{21} = \sf \frac{4}{15} \times \frac{ 21}{ - 7}$

$= \sf \frac{4}{15} \times \frac{\cancel{ 21}}{ \cancel{- 7}} = \sf \frac{4}{15} \times \frac{ 3}{ - 1}$

$= \sf \frac{4}{\cancel{15} } \times \frac{ \cancel{3}}{ - 1} = \frac{4}{5} \times \frac{1}{ - 1}$

$\sf = \frac{4}{ - 5}$

∴ 4/15 ÷ (-7/21)= 4/-5

7) 3.21 × 5 = 16.05