Question

homework: module a part 1 review
score: 23/30 answered: 25/30
question 26
subtract 5\frac{33}{56}-1\frac{11}{14} and write the result as a mixed number or proper fraction.
question help: post to forum

Explanation:

Step1: Convert mixed - numbers to improper fractions

$5\frac{33}{56}=\frac{5\times56 + 33}{56}=\frac{280+33}{56}=\frac{313}{56}$

$1\frac{11}{14}=\frac{1\times14 + 11}{14}=\frac{14 + 11}{14}=\frac{25}{14}$

Step2: Make the denominators the same

Since the least - common multiple of 56 and 14 is 56, we rewrite $\frac{25}{14}$ with a denominator of 56. $\frac{25}{14}=\frac{25\times4}{14\times4}=\frac{100}{56}$

Step3: Subtract the fractions

$\frac{313}{56}-\frac{100}{56}=\frac{313 - 100}{56}=\frac{213}{56}$

Step4: Convert the improper fraction to a mixed number

$213\div56 = 3\cdots\cdots45$

So, $\frac{213}{56}=3\frac{45}{56}$

Answer:

$3\frac{45}{56}$