What is (229× 32)/(16× 7^2) ?

The solution to (229× 32)/(16× 7^2) is 9 17/49

(229× 32)/(16× 7^2)

\frac{229 \times 32}{16 \times 7 ^{2}}

9 \frac{17}{49}

Decimal

9.34693 \dots

Solution steps

\frac{229 \cdot 32}{16 \cdot 7 ^{2}}

Solve

229 \cdot 32 : 7328

229 \cdot 32 = 7328

= 7328

Solve

16 \cdot 7^{2} : 784

Follow the PEMDAS order of operations

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 16 \cdot 49

Multiply and divide (left to right)

16 \cdot 49 : 784

16 \cdot 49

16 \cdot 49 = 784

= 784

= 784

= \frac{7328}{784}

Simplify

\frac{7328}{784} : 9 \frac{17}{49}

Cancel the common factor:

16

= \frac{458}{49}

Convert improper fractions to mixed numbers:

\frac{458}{49} = 9 \frac{17}{49}

\frac{458}{49} = 9

Remainder

17

\frac{458}{49}

Write the problem in long division format

49 \overline{∣ 458}

Divide

458

49

to get

9

Divide

458

49

to get

9

9 49 \overline{∣ 458}

Multiply the quotient digit

(9)

by the divisor

49

9 49 \overline{∣ 458} \underline{441}

Subtract

441

from

458

9 49 \overline{∣ 458} \underline{441} 17

9 49 \overline{∣ 458} \underline{441} 17

The solution for Long Division of

\frac{458}{49}

9

with remainder of

17

9 Remainder 17

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{458}{49} = 9 \frac{17}{49}

= 9 \frac{17}{49}

= 9 \frac{17}{49}

= 9 \frac{17}{49}