write each fraction or mixed number as a decimal 3 over 4?
Everywhere. Each and every point on a number line is a fraction and also a decimal.
A decimal number is one in which the place value of each digit is ten times the place value of the digit to its right. (... , thousands, hundreds, tens, units, tenths, hundredths, ... ) A decimal point is used to separate the units from the tenths. If a number in decimal form has non-zero digits after the decimal point then it is a decimal fraction. [There is one esoteric exception: if the decimal point is followed by an infinite string of 9s, then it is not a decimal fraction.] Thus 37.6 is a decimal fraction 0.6 is a decimal fraction 0.00000063 is a decimal fraction 37 is not a decimal fraction. 37.0 is not a decimal fraction. 37.999... recurring is no a decimal fraction [it is in fact = 38].
Any TERMINATING decimal can be written as a fraction with a denominator that is a power of 10 - which has the prime factors 2 and 5. Therefore, any fraction (in simplest terms) must have a denominator which is only made up of the prime factors 2 and 5. Any other factor, and the fraction will not be terminating.As to why it repeats, that's because in the division, there are only so many options. For example, if you divide by 7, the remainder, in each step of the division, can only be a number between 1 and 6. Eventually, the pattern will repeat.
A fraction is a division problem, such as one divided by two, which equals a half. This can be written as 1/2. In decimal form it is .5 since five tenths is a half. If you have a mixed number, such as 17 and 2/3, that can be written in decimal form as 17.67 (but note that this is only an approximation since 2/3 gives an infinitely long decimal expansion, .6666666666666666666666666 etc.).
write each fraction or mixed number as a decimal 3 over 4?
Everywhere. Each and every point on a number line is a fraction and also a decimal.
A decimal number is one in which the place value of each digit is ten times the place value of the digit to its right. (... , thousands, hundreds, tens, units, tenths, hundredths, ... ) A decimal point is used to separate the units from the tenths. If a number in decimal form has non-zero digits after the decimal point then it is a decimal fraction. [There is one esoteric exception: if the decimal point is followed by an infinite string of 9s, then it is not a decimal fraction.] Thus 37.6 is a decimal fraction 0.6 is a decimal fraction 0.00000063 is a decimal fraction 37 is not a decimal fraction. 37.0 is not a decimal fraction. 37.999... recurring is no a decimal fraction [it is in fact = 38].
write 0.64 as a fraction
Any TERMINATING decimal can be written as a fraction with a denominator that is a power of 10 - which has the prime factors 2 and 5. Therefore, any fraction (in simplest terms) must have a denominator which is only made up of the prime factors 2 and 5. Any other factor, and the fraction will not be terminating.As to why it repeats, that's because in the division, there are only so many options. For example, if you divide by 7, the remainder, in each step of the division, can only be a number between 1 and 6. Eventually, the pattern will repeat.
501/200
Every fraction is an equivalent fraction: each fraction in decimal form has an equivalent rational fraction as well as an equivalent percentage fraction.
1.7
A fraction is a division problem, such as one divided by two, which equals a half. This can be written as 1/2. In decimal form it is .5 since five tenths is a half. If you have a mixed number, such as 17 and 2/3, that can be written in decimal form as 17.67 (but note that this is only an approximation since 2/3 gives an infinitely long decimal expansion, .6666666666666666666666666 etc.).
0.8=8/10
To write 37 hundredths as a decimal, you would divide 37 by 100. This division would result in 0.37, as each hundredth represents one one-hundredth of the whole. Therefore, 37 hundredths written as a decimal is 0.37.
1/17 contains each of the ten digits.