Question

41 and 2/3 divided by 4 and 1/4 equals

Answer 1

Answer:

$9\frac{41}{51}$

Step-by-step explanation:

Given the expression:

$41 \frac{2}{3} \div4\frac{1}{4}$

Convert the mixed numbers into improper fractions and then use KCF (Keep, Change, Flip) to solve the problem. Simplify if needed and then convert the improper fraction back into the mixed number.

$41\frac{2}{3} \div4\frac{1}{4}$

$41\frac{2}{3} =3\times41=123+2=125=\frac{125}{3}$

$4\frac{1}{4} =4\times4=16+1=17=\frac{17}{4}$

$\frac{125}{3} \div\frac{17}{4}$

$\frac{125}{3} \div\frac{17}{4} =\frac{125}{3} \times\frac{4}{17}$

$125\times4=500$

$3\times17=51$

$=\frac{500}{51}$

$\frac{500}{51} =500\div51=9\frac{41}{51}$

$=9\frac{41}{51}$

Hope this helps.

Answer 2

Step-by-step explanation:      

Step 1: Convert mixed numbers to improper fractions

$=\frac{125}{3}\div \:4\frac{1}{4}$

Step 2: Apply fraction rule

$\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{125}{3}\times \frac{4}{17}$

Step 3: Multiply Fractions

$=\frac{125\times \:4}{3\times \:17}$

Step 4: Multiply the numbers

$125\times \:4=500$

$=\frac{500}{3\times \:17}$

Step 5: Multiply the numbers

$\:3\times \:17=51$

$=\frac{500}{51}$

Step 6: Convert Improper fraction to mixed numbers

$=9\frac{41}{51}$

Answer:     

$=9\frac{41}{51}$

Hope this helps.