\[5\frac{1}{7}-4\frac{1}{12}\]
1
Convert 5175\frac{1}{7} to improper fraction. Use this rule: abc=ac+bca \frac{b}{c}=\frac{ac+b}{c}.
5×7+17−4112\frac{5\times 7+1}{7}-4\frac{1}{12}

2
Simplify  5×75\times 7  to  3535.
35+17−4112\frac{35+1}{7}-4\frac{1}{12}

3
Simplify  35+135+1  to  3636.
367−4112\frac{36}{7}-4\frac{1}{12}

4
Convert 41124\frac{1}{12} to improper fraction. Use this rule: abc=ac+bca \frac{b}{c}=\frac{ac+b}{c}.
367−4×12+112\frac{36}{7}-\frac{4\times 12+1}{12}

5
Simplify  4×124\times 12  to  4848.
367−48+112\frac{36}{7}-\frac{48+1}{12}

6
Simplify  48+148+1  to  4949.
367−4912\frac{36}{7}-\frac{49}{12}

7
Find the Least Common Denominator (LCD) of 367,4912\frac{36}{7},\frac{49}{12}. In other words, find the Least Common Multiple (LCM) of 7,127,12.
LCD = 8484

8
Make the denominators the same as the LCD.
36×127×12−49×712×7\frac{36\times 12}{7\times 12}-\frac{49\times 7}{12\times 7}

9
Simplify. Denominators are now the same.
43284−34384\frac{432}{84}-\frac{343}{84}

10
Join the denominators.
432−34384\frac{432-343}{84}

11
Simplify.
8984\frac{89}{84}

12
Convert to mixed fraction.
15841\frac{5}{84}

Done

Decimal Form: 1.059524
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