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Math  /  Numbers & Operations

Question7620−1220=?7 \frac{6}{20}-\frac{12}{20}=? 617206 \frac{17}{20} 616206 \frac{16}{20} 615206 \frac{15}{20} 614206 \frac{14}{20}

Studdy Solution

STEP 1

1. We are given a mixed number 7620 7 \frac{6}{20} and a fraction 1220 \frac{12}{20} .
2. We need to subtract the fraction from the mixed number.
3. The result should be expressed as a mixed number.

STEP 2

1. Convert the mixed number to an improper fraction.
2. Perform the subtraction.
3. Convert the result back to a mixed number.
4. Simplify the fraction if necessary.

STEP 3

Convert the mixed number 7620 7 \frac{6}{20} to an improper fraction.
7620=7×20+620=140+620=14620 7 \frac{6}{20} = \frac{7 \times 20 + 6}{20} = \frac{140 + 6}{20} = \frac{146}{20}

STEP 4

Subtract the fraction 1220 \frac{12}{20} from the improper fraction 14620 \frac{146}{20} .
14620−1220=146−1220=13420 \frac{146}{20} - \frac{12}{20} = \frac{146 - 12}{20} = \frac{134}{20}

STEP 5

Convert the improper fraction 13420 \frac{134}{20} back to a mixed number.
Divide 134 134 by 20 20 :
134÷20=6 remainder 14 134 \div 20 = 6 \text{ remainder } 14
Thus, 13420=61420 \frac{134}{20} = 6 \frac{14}{20}

STEP 6

Check if the fraction 1420 \frac{14}{20} can be simplified.
The greatest common divisor of 14 14 and 20 20 is 2 2 .
1420=14÷220÷2=710 \frac{14}{20} = \frac{14 \div 2}{20 \div 2} = \frac{7}{10}
Thus, the simplified mixed number is 6710 6 \frac{7}{10} .
However, since the original options were given in terms of twentieths, the correct choice is:
61420 6 \frac{14}{20}
The correct answer is:
61420 \boxed{6 \frac{14}{20}}

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