4 7/10 × 49 1/5 ÷ 9/50

Step 1: Convert the mixed numbers to improper fractions. 4 7/10 = ((4 × 10) + 7)/(10) = (40 + 7)/(10) = 47/10; 49 1/5 = ((49 × 5) + 1)/(5) = (245 + 1)/(5) = 246/5 Step 2: Substitute the improper fractions back into the expression. The expression becomes: 47/10 × 246/5 ÷ 9/50 Step 3: Perform the multiplication. 47/10 × 246/5 = (47 × 246)/(10 × 5) = 11562/50 Step 4: Perform the division by multiplying by the reciprocal of the divisor. 11562/50 ÷ 9/50 = 11562/50 × 50/9 Step 5: Simplify the expression. 1156250 × 509 = 11562/9 Step 6: Divide 11562 by 9. 11562 ÷ 9 = 1284.666... Let's recheck the numbers. 47 × 246 = 11562. Correct. 10 × 5 = 50. Correct. 11562 / 9: 1+1+5+6+2 = 15. Since 15 is divisible by 3, 11562 is divisible by 3. 11562 ÷ 3 = 3854. So, 11562/9 = (3854 × 3)/(3 × 3) = 3854/3. The final answer is 3854/3.

4 7/10 × 49 1/5 ÷ 9/50

Step 1: Convert the mixed numbers to improper fractions. 4 7/10 = ((4 × 10) + 7)/(10) = (40 + 7)/(10) = 47/10; 49 1/5 = ((49 × 5) + 1)/(5) = (245 + 1)/(5) = 246/5 Step 2: Substitute the improper fractions back into the expression. The expression becomes: 47/10 × 246/5 ÷ 9/50 Step 3: Perform the multiplication. 47/10 × 246/5 = (47 × 246)/(10 × 5) = 11562/50 Step 4: Perform the division by multiplying by the reciprocal of the divisor. 11562/50 ÷ 9/50 = 11562/50 × 50/9 Step 5: Simplify the expression. 1156250 × 509 = 11562/9 Step 6: Divide 11562 by 9. 11562 ÷ 9 = 1284.666... Let's recheck the numbers. 47 × 246 = 11562. Correct. 10 × 5 = 50. Correct. 11562 / 9: 1+1+5+6+2 = 15. Since 15 is divisible by 3, 11562 is divisible by 3. 11562 ÷ 3 = 3854. So, 11562/9 = (3854 × 3)/(3 × 3) = 3854/3. The final answer is 3854/3.

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4 7/10 x 49 1/5 ÷ 9/50

October 16, 2026Mathematics

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Answer

\frac{3854}{3}

Step-by-step solution

6 steps

Convert the mixed numbers to improper fractions.
$4 \frac{7}{10} = \frac{(4 \times 10) + 7}{10} = \frac{40 + 7}{10} = \frac{47}{10}$ $49 \frac{1}{5} = \frac{(49 \times 5) + 1}{5} = \frac{245 + 1}{5} = \frac{246}{5}$
Substitute the improper fractions back into the expression.
The expression becomes:
$\frac{47}{10} \times \frac{246}{5} \div \frac{9}{50}$
Perform the multiplication.
$\frac{47}{10} \times \frac{246}{5} = \frac{47 \times 246}{10 \times 5} = \frac{11562}{50}$
Perform the division by multiplying by the reciprocal of the divisor.
$\frac{11562}{50} \div \frac{9}{50} = \frac{11562}{50} \times \frac{50}{9}$
Simplify the expression.
$\frac{11562}{\cancel{50}} \times \frac{\cancel{50}}{9} = \frac{11562}{9}$
Divide 11562 by 9.
$11562 \div 9 = 1284.666...$
Let's recheck the numbers.
$47 \times 246 = 11562$ . Correct.
$10 \times 5 = 50$ . Correct.
$11562 / 9$ :
$1+1+5+6+2 = 15$ . Since 15 is divisible by 3, 11562 is divisible by 3.
$11562 \div 3 = 3854$ .
So, $\frac{11562}{9} = \frac{3854 \times 3}{3 \times 3} = \frac{3854}{3}$ .

The final answer is $\frac{3854}{3}$ .

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4 7/10 x 49 1/5 ÷ 9/50

Answer

Step-by-step solution

Convert the mixed numbers to improper fractions.

Substitute the improper fractions back into the expression.

Perform the multiplication.

Perform the division by multiplying by the reciprocal of the divisor.

Simplify the expression.

Divide 11562 by 9.

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