Solve 841/9=144-14442/469+4^2-124736

$$\frac { 841 } { 9 } = 144 - \frac { 14442 } { 469 } + 4 ^ { 2 } - 124736$$

Verify

Solution Steps

Convert 144 to fraction \frac{67536}{469}.

$$\frac{841}{9}=\frac{67536}{469}-\frac{14442}{469}+4^{2}-124736$$

Since \frac{67536}{469} and \frac{14442}{469} have the same denominator, subtract them by subtracting their numerators.

$$\frac{841}{9}=\frac{67536-14442}{469}+4^{2}-124736$$

Subtract 14442 from 67536 to get 53094.

$$\frac{841}{9}=\frac{53094}{469}+4^{2}-124736$$

Calculate 4 to the power of 2 and get 16.

$$\frac{841}{9}=\frac{53094}{469}[phone]$$

Convert 16 to fraction \frac{7504}{469}.

$$\frac{841}{9}=\frac{53094}{469}+\frac{7504}{469}-124736$$

Since \frac{53094}{469} and \frac{7504}{469} have the same denominator, add them by adding their numerators.

$$\frac{841}{9}=\frac{53094+7504}{469}-124736$$

Add 53094 and 7504 to get 60598.

$$\frac{841}{9}=\frac{60598}{469}-124736$$

Convert 124736 to fraction \frac{58501184}{469}.

$$\frac{841}{9}=\frac{60598}{469}-\frac{58501184}{469}$$

Since \frac{60598}{469} and \frac{58501184}{469} have the same denominator, subtract them by subtracting their numerators.

$$\frac{841}{9}=\frac{60598-58501184}{469}$$

Subtract 58501184 from 60598 to get -58440586.

$$\frac{841}{9}=-\frac{58440586}{469}$$

Least common multiple of 9 and 469 is 4221. Convert \frac{841}{9} and -\frac{58440586}{469} to fractions with denominator 4221.

$$\frac{394429}{4221}=-\frac{525965274}{4221}$$

Compare \frac{394429}{4221} and -\frac{525965274}{4221}.

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