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Math Tutor Solution: 4 78/7 as a decimal is 15.14
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 4 78/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 7 and add its product to 78 in the numerator to get: 106/7. Now we will attempt to convert 106/7 to a decimal using the following method:
Math tutor's explanation using the division method:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 106 by the denominator 7 to get the decimal:
106 (numerator) ÷ 7 (denominator) = 15.14
That’s it! When you convert 4 78/7 (or 106/7) to a decimal, 15.14 is your answer.
Math Tutor Suggests: Master fraction to decimal conversions
All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:
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