Question

Subtract. Write your answer in simplest form. 7 1/15 - 3 4/5

Answer 1

Answer:

$3\frac{4}{15}$

Step-by-step explanation:

$7\frac{1}{15}$

$7=6+1$

$=6+1\frac{1}{15}$

$a\frac{b}{c}=\frac{a\cdot \:c+b}{c}$

$1\frac{1}{15}=\frac{1\cdot 15+1}{15}=\frac{16}{15}$

$=6+\frac{16}{15}$

$=6\frac{16}{15}$

$=6\frac{16}{15}-3\frac{4}{5}$

$\mathrm{Subtract\:the\:numbers:}\:6-3=3$

$3$

$\mathrm{Combine\:fractions}\:\frac{16}{15}-\frac{4}{5}:\quad \frac{4}{15}$

$\frac{16}{15}-\frac{4}{5}$

$\mathrm{Least\:Common\:Multiplier\:of\:}15,\:5:\quad 15$

$=\frac{16}{15}-\frac{12}{15}$

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

$=\frac{16-12}{15}$

$\mathrm{Subtract\:the\:numbers:}\:16-12=4$

$=\frac{4}{15}$

$=3+\frac{4}{15}$

$=3\frac{4}{15}$

Answer 2

Answer:

3 4/15

Step-by-step explanation:

= 7 + 1 /15 - 3 -4/5

7-3 =4

4/5 = 12/15

1/15-12/15

3 ⁴/⁵