19/16 as a decimal
Understand the Problem
The question is asking to convert the fraction 19/16 into its decimal form. This requires performing the division of the numerator by the denominator.
Answer
The decimal form of the fraction $\frac{19}{16}$ is $1.1875$.
Answer for screen readers
The decimal form of the fraction $\frac{19}{16}$ is $1.1875$.
Steps to Solve
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Set Up the Division Begin by dividing the numerator (19) by the denominator (16). This can be set up as $19 \div 16$.
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Perform the Division Carry out the division. Since 19 is less than 16, place a decimal point to the right of 19 and add a zero, making it 190. Now, divide: $$ 190 \div 16 = 11.875 $$ So, 16 goes into 190, 11 times.
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Calculate the Remainder After dividing, calculate the remainder. $$ 190 - (11 \times 16) = 190 - 176 = 14 $$ Now, add another zero to the remainder (14), making it 140.
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Continue Dividing Now divide 140 by 16: $$ 140 \div 16 = 8.75 $$ So, 16 goes into 140, 8 times.
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Calculate New Remainder Calculate the new remainder: $$ 140 - (8 \times 16) = 140 - 128 = 12 $$ Again, add a zero making it 120.
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Final Division Now divide 120 by 16: $$ 120 \div 16 = 7.5 $$ So, 16 goes into 120, 7 times.
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Calculate Final Remainder Calculate the final remainder: $$ 120 - (7 \times 16) = 120 - 112 = 8 $$ Add another zero, making it 80.
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Final Step of Division Now, divide 80 by 16: $$ 80 \div 16 = 5 $$ So, 16 goes into 80, 5 times, with no remainder.
Thus, the final decimal form of the fraction $ \frac{19}{16} $ is $ 1.1875 $.
The decimal form of the fraction $\frac{19}{16}$ is $1.1875$.
More Information
The decimal representation provides an alternative way to express the fraction $\frac{19}{16}$, which is an improper fraction greater than 1. This conversion is useful in various applications, including measurement and calculations in financial contexts.
Tips
- Forgetting to add a decimal point and a zero when the numerator is less than the denominator.
- Miscalculating the multiplications or subtractions during the division process.
- Not carrying down the zeros correctly, leading to incorrect long division steps.
