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Genrish500 [490]
3 years ago
8

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

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
7 0

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}

Bingel [31]3 years ago
5 0

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

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