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Multiplicative property of equality with whole numbers: Fractional answers Online Quiz
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$\frac{7}{3b} = 11$
Answer : C
Explanation
Step 1:
Given $\frac{7}{3b} = 11$
Cross multiplying, we get
$\frac{7}{3} = 11b$
Step 2:
Using multiplicative property of equality, we divide both sides by 11
$\frac{7}{(3 \times 11)} = \frac{11b}{11}$
Step 3:
So, $b = \frac{7}{33}$
$16r = −23$
Answer : A
Explanation
Step 1:
Using multiplicative property of equality, we divide both sides by 16
$\frac{16r}{16} = \frac{−23}{16}$
Step 2:
So, $r = \frac{−23}{16}$
$14 = \frac{25}{3p}$
Answer : B
Explanation
Step 1:
Given $14 = \frac{25}{3p}$
Cross multiplying, we get
$3p = \frac{25}{14}$
Step 2:
Using multiplicative property of equality, we divide both sides by 3
$\frac{3p}{3} = \frac{25}{(14 \times 3)}$
Step 3:
So, $p = \frac{25}{42}$
$\frac{−10}{7a} = 19$
Answer : D
Explanation
Step 1:
Given $\frac{−10}{7a} = 19$
Cross multiplying, we get
$\frac{−10}{19} = 7a$
Step 2:
Using multiplicative property of equality, we divide both sides by 7
$\frac{−10}{(7 \times 19)} = \frac{7a}{7}$
Step 3:
So, $a = \frac{−10}{133}$
$13y = 38$
Answer : A
Explanation
Step 1:
Using multiplicative property of equality, we divide both sides by 13
$\frac{13y}{13} = \frac{38}{13}$
Step 2:
So, $y = \frac{38}{13}$
$11m = 19$
Answer : D
Explanation
Step 1:
Using multiplicative property of equality, we divide both sides by 11
$\frac{11m}{11} = \frac{19}{11}$
Step 2:
So, $m = \frac{19}{11}$
$14z = 5$
Answer : B
Explanation
Step 1:
Using multiplicative property of equality, we divide both sides by 11
$\frac{14z}{14} = \frac{5}{14}$
Step 2:
So, $z = \frac{5}{14}$
$15 = 23r$
Answer : C
Explanation
Step 1:
Using multiplicative property of equality, we divide both sides by 23
$\frac{15}{23} = \frac{23r}{23}$
Step 2:
So, $r = \frac{15}{23}$
$18 = \frac{37}{n}$
Answer : B
Explanation
Step 1:
Given $18 = \frac{37}{n}$
Cross multiplying, we get
$18n = 37$
Step 2:
Using multiplicative property of equality, we divide both sides by 18
$\frac{18n}{18} = \frac{37}{18}$
Step 3:
So, $n = \frac{37}{18}$
$\frac{12}{h} = −7$
Answer : C
Explanation
Step 1:
Given $\frac{12}{h} = −7$
Cross multiplying, we get
$12 = −7h$
Step 2:
Using multiplicative property of equality, we divide both sides by −7
$\frac{12}{−7} = \frac{−7h}{−7}$
Step 3:
So, $h = \frac{−12}{7}$