A Familiar Fraction Equivalent
The reduced form 37/25 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Decimal in the hundredths place
1.48 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
1.48 in words is one point four eight.
The digits 1 form the whole-number part, while 4 in the tenth place and 8 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 8 | hundredth | 8/100 |
1.48 is a positive terminating decimal greater than 1. It is written to the hundredths place.
1.48 = 1 + 4/10 + 8/100
1.48 = 1 + 48/100
1.48 = 1 12/25
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
1.48 = 148/100
The greatest common divisor of 148 and 100 is 4.
148 ÷ 4 = 37
100 ÷ 4 = 25
Therefore, 148/100 = 37/25.
As a mixed fraction, the value is 1 12/25.
To convert 1.48 to a percentage, multiply it by 100.
1.48 × 100 = 148
Therefore, 1.48 = 148%.
1.48 = 1.480 = 1.4800
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 1.48 | hundredths | 148/100 | 37/25 |
| 1.480 | thousandths | 1480/1000 | 37/25 |
| 1.4800 | ten-thousandths | 14800/10000 | 37/25 |
The reduced form 37/25 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
This mixed decimal combines the whole part 1 with the fractional part 48/100. In place-value words, "and" marks that boundary.
1.48 lies between 1 and 2. It is 0.52 below 2 and 0.48 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.148 | zero point one four eight | one hundred forty-eight thousandths | 37/250 | 14.8% | ten times smaller than 1.48 |
| 1.48 | one point four eight | one and forty-eight hundredths | 37/25 | 148% | current value |
| 1.480 | one point four eight zero | one and four hundred eighty thousandths | 37/25 | 148% | same numerical value, written to the thousandths place |
| 14.8 | fourteen point eight | fourteen and eight tenths | 74/5 | 1480% | ten times larger than 1.48 |
One point four eight.
One and forty-eight hundredths.
37/25.
148%.
1 12/25.
Between 1 and 2.
1.48 in words is one point four eight.
Because the digit 4 is in the hundredths place. Therefore, 1.48 represents one and forty-eight hundredths.
1.48 is 148/100 exactly and 37/25 in lowest terms.
Yes. Divide its numerator and denominator by 4 to get 37/25.
1.48 is equal to 148%.
Yes. 1.48 and 1.480 have the same numerical value. However, 1.48 is written to the hundredths place, while 1.480 is written to the thousandths place and may communicate greater recorded precision.
Yes. 1.48 is ten times as large as 0.148.
1.48 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one and forty-eight hundredths.