Question

divide. give the exact answer, written as a decimal.

6.25 \overline{)17.20}

save answer

Explanation:

Step1: Convert divisor to integer

Multiply both dividend and divisor by 100 to eliminate decimals: \(17.20\times100 = 1720\), \(6.25\times100 = 625\). Now we have \(1720\div625\).

Step2: Perform long division

Divide 1720 by 625. \(625\times2 = 1250\), subtract from 1720: \(1720 - 1250 = 470\). Bring down a zero (now 4700). \(625\times7 = 4375\), subtract: \(4700 - 4375 = 325\). Bring down a zero (now 3250). \(625\times5 = 3125\), subtract: \(3250 - 3125 = 125\). Bring down a zero (now 1250). \(625\times2 = 1250\), subtract: \(1250 - 1250 = 0\). So combining the quotients: \(2 + 0.7 + 0.05 + 0.02 = 2.776\).

Answer:

2.776