Question

Efectuati:
a)9 intregi 3/4+3 intregi 1/6=
b)7 intregi 8/15+8 intregi 17/20=

Answer 1

9x4+3/4 + 3x6+1/6=
39/4 + 19/6=
39/4 +19/6=. Numitor comun=12
39*3/12.+19*2/12= 155/12

7x15+8/15 + 8x20+17/20=
113/15.+ 177/20=. Numitor comun=60
113x4/60.+ 177x3/60=983/60

Answer 2

$a)9 \frac{3}{4} + 3 \frac{1}{6} = \frac{9 \times 4 + 3}{4} + \frac{3 \times 6 + 1}{6}$

$= \frac{36 + 3}{4} + \frac{18 + 1}{6} = \frac{39}{4} + \frac{19}{6}$

$= \frac{117}{12} + \frac{38}{12} = \frac{117 + 38}{12} = \frac{155}{12}$

$b)7 \frac{8}{15} + 8 \frac{17}{20} = \frac{7 \times 15 + 8}{15} + \frac{8 \times 20 + 17}{20}$

$= \frac{105 + 8}{15} + \frac{160 + 17}{20} = \frac{113}{15} + \frac{177}{20}$

$= \frac{452}{60} + \frac{531}{60} = \frac{452 + 531}{60} = \frac{983}{60}$