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\(\dfrac{7}{13}\) + \(\dfrac{5}{9}\) + \(\dfrac{6}{13}\) + \(\dfrac{5}{9}\)
`7/13+5/9+6/13+5/9`
`=(7/13+6/13)+(5/9+5/9)`
`=13/13+10/9`
`=1+10/9`
`=9/9+10/9`
`=19/9`
\(=\dfrac{12\times101\times169\times1001}{13\times101\times144\times1001}=\dfrac{13}{12}\)
a) \(\dfrac{81\times49}{7\times8}=\dfrac{81\times7\times7}{7\times8}=\dfrac{81\times7}{8}=\dfrac{567}{8}\)
b) \(\dfrac{105\times69}{3\times35}=\dfrac{3\times35\times69}{3\times35}=69\)
c) \(\dfrac{77\times39}{13\times11}=\dfrac{11\times7\times13\times3}{13\times11}=7\times3=21\)
a) \(\dfrac{81x49}{7x8}=\dfrac{81x7x7}{7x8}=\dfrac{81x7}{8}=\dfrac{567}{8}=70,875\)
b) \(\dfrac{105x69}{3x35}=\dfrac{3x35x69}{3x35}=\dfrac{69}{1}=69\)
c) \(\dfrac{77x39}{13x11}=\dfrac{11x7x3x13}{13x11}=\dfrac{7x3}{1}=\dfrac{21}{1}=21\)
\(\dfrac{42x45}{5x7}=\dfrac{7x6x5x9}{5x7}=\dfrac{54}{1}=54\)
\(\dfrac{54x56}{7x9}=\dfrac{6x9x7x8}{7x9}=\dfrac{48}{1}=48\)
4x25x0,25x1/5x1/2x2
=4x25x0,25x0,2x0,5x2
= (4x25)x(0,5x1)x(0,25x0,2)
= 100 x 1 x 0,05
= 100x0,05
= 5
(6 - 4\(\dfrac{1}{2}\) ) : 0,03 x 40%
= (6 - \(\dfrac{9}{2}\)) : \(\dfrac{3}{100}\) x \(\dfrac{40}{100}\)
= \(\dfrac{3}{2}\) x\(\dfrac{100}{3}\) x \(\dfrac{40}{100}\)
= 20
( 1 + 1/2 ) . ( 1+ 1/3) . ( 1+ 1/4 ) . ( 1+ 1/5 )
=3/2 . 4/3.5/4.6/5
= 3.4.5.6/2.3.4.5
=6/2 = 3
= 1 x ( \(\dfrac{1}{2}\) + \(\dfrac{1}{3}\) + \(\dfrac{1}{4}\) + \(\dfrac{1}{5}\) )
= 1 x \(\dfrac{77}{60}\)
= \(\dfrac{77}{60}\)
\(=\dfrac{25\cdot4\cdot21}{100\cdot41}=\dfrac{21}{41}\)