Question

7/2+16/3-10/4
give me answer​

Answer 1

Answer:

$\displaystyle\frac{7}{2}+\frac{16}{3}-\frac{10}{4}=\frac{19}{3}\quad \left(\mathrm{Decimal:\quad }\:6.33333\dots \right)$

Step-by-step explanation:

$\displaystyle\frac{7}{2}+\frac{16}{3}-\frac{10}{4}$

$\displaystyle\black{\mathrm{Cancel\:}\frac{10}{4}:}$

$\gray{\mathrm{Cancel\:the\:common\:factor:}\:2}$

$\displaystyle=\frac{5}{2}$

$\displaystyle=\frac{7}{2}+\frac{16}{3}-\frac{5}{2}$

$\displaystyle\black{\mathrm{Combine\:the\:fractions\:}\frac{7}{2}-\frac{5}{2}:}$

$\displaystyle\gray{\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}}$

$\displaystyle=\frac{7-5}{2}$

$\gray{\mathrm{Subtract\:the\:numbers:}\:7-5=2}$

$\displaystyle=\frac{2}{2}$

$\displaystyle\gray{\mathrm{Apply\:rule}\:\frac{a}{a}=1}$

$=1$

$\displaystyle=1+\frac{16}{3}$

$\displaystyle\gray{\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:3}{3}}$

$\displaystyle\gray{=\frac{1\cdot \:3}{3}+\frac{16}{3}}$

$\displaystyle\gray{\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}}$

$\displaystyle=\frac{1\cdot \:3+16}{3}$

$\black{1\cdot \:3+16}$

$\gray{\mathrm{Multiply\:the\:numbers:}\:1\cdot \:3=3}$

$=3+16$

$\gray{\mathrm{Add\:the\:numbers:}\:3+16=19}$

$=19$

$\displaystyle=\frac{19}{3}$