Question

name:hour:with rational numbers2. $\frac{1}{6}+d=\frac{3}{4}$4. $\frac{2}{7}+p=-\frac{3}{4}$6. $h+\frac{6}{11}=\frac{3}{22}$

Explanation:

Step1: Isolate $d$ (Problem 2)

$d = \frac{3}{4} - \frac{1}{6}$

Step2: Find common denominator (12)

$d = \frac{9}{12} - \frac{2}{12}$

Step3: Subtract fractions (Problem 2)

$d = \frac{7}{12}$
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Step4: Isolate $p$ (Problem 4)

$p = -\frac{3}{4} - \frac{2}{7}$

Step5: Find common denominator (28)

$p = -\frac{21}{28} - \frac{8}{28}$

Step6: Subtract fractions (Problem 4)

$p = -\frac{29}{28}$
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Step7: Isolate $h$ (Problem 6)

$h = \frac{3}{22} - \frac{6}{11}$

Step8: Find common denominator (22)

$h = \frac{3}{22} - \frac{12}{22}$

Step9: Subtract fractions (Problem 6)

$h = -\frac{9}{22}$

Answer:

1. $d = \frac{7}{12}$
2. $p = -\frac{29}{28}$
3. $h = -\frac{9}{22}$