Question

how is 9/5 - 1/3 equal 1 and 7/15. Can someone please explain and show work?

Answer 1

Answer:

Step-by-step explanation:

9/5=9*3/5*3=27/15

1/3=5*1/5*3=5/15

27/15-5/15=22/15=(15+7)/15=15/15+7/15

=1+7/15=1 7/15

Answer 2

Answer:

Below

Step-by-step explanation:

$\frac{9}{5} - \frac{1}{3} \\\\\mathrm{Least\:Common\:Multiplier\:of\:}5,\:3:\quad 15\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM};\\\\\frac{9}{5}=\frac{9\times\:3}{5\times\:3}=\frac{27}{15}\\\\\frac{1}{3}=\frac{1\times\:5}{3\times\:5}=\frac{5}{15}\\\\=\frac{27}{15}-\frac{5}{15}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{27-5}{15}\\\\=\frac{22}{15}$

$22\div 15 = 1 \:remainder\: 7 = \\1 \frac{7}{15}$