7/10 as a decimal
7/10 = 0.7 inches = 17.78 mm.
0.7
7/10 of an inch
Millimetres
17.78 mm
Centimetres
1.778 cm
Percent
70%
Decimal
terminates
10 goes into 7 0 times with 7 left over, so write 0 and a decimal point. Then bring down a zero and divide again, one digit at a time.
| Step | Divide | Digit | Subtract | Remainder |
|---|---|---|---|---|
| 1 | 70 ÷ 10 | 7 | 70 − 70 | 0 |
Remainder 0: nothing is left to divide, so the division stops and 7/10 = 0.7 exactly.
Where 7/10 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 11/16 | nearest |
| 1/32 | 11/16 | nearest |
| 1/64 | 45/64 | nearest |
Mixed numbers with 7/10
A whole number of inches plus 7/10: the whole number goes in front of the decimal point and 7/10 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 7/10 | 1.7 | 43.18 |
| 2 7/10 | 2.7 | 68.58 |
| 3 7/10 | 3.7 | 93.98 |
| 4 7/10 | 4.7 | 119.38 |
| 5 7/10 | 5.7 | 144.78 |
| 6 7/10 | 6.7 | 170.18 |
| 7 7/10 | 7.7 | 195.58 |
| 8 7/10 | 8.7 | 220.98 |
| 9 7/10 | 9.7 | 246.38 |
| 10 7/10 | 10.7 | 271.78 |
| 11 7/10 | 11.7 | 297.18 |
| 12 7/10 | 12.7 | 322.58 |
Converting 7/10 to a decimal
A fraction is a division. 7/10 = 7 ÷ 10 = 0.7. The decimal terminates because 10 factors into 2 × 5 — only 2s and 5s, the factors of ten. Any fraction whose denominator is built from those has an exact decimal.
In metric that is 17.78 millimetres (1.778 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 70%.
7/10 is not a mark on any imperial rule — the denominators on a rule are all powers of two, and 10 is not one. The nearest marks are 11/16 on a 1/16 rule, 11/16 on a 1/32 rule, 45/64 on a 1/64 rule, none of them exact.
Going the other way
To turn 0.7 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.7 × 16 = 11.2, giving 11/16 after rounding to the nearest mark. At 1/32: 0.7 × 32 = 22.4, giving 11/16 after rounding to the nearest mark. At 1/64: 0.7 × 64 = 44.8, giving 45/64 after rounding to the nearest mark.
What is 7/10 as a decimal?
7/10 as a decimal is 0.7. Divide the numerator by the denominator: 7 ÷ 10 = 0.7. The division comes out exactly, with no remainder left over.
What is 2 7/10 as a decimal?
2 7/10 as a decimal is 2.7. The whole number stays in front of the decimal point and 7/10 supplies the digits after it, so 2 7/10 = 2 + 0.7. In millimetres that is 68.58 mm. This page's mixed-numbers table runs from 1 7/10 to 12 7/10.
What is 7/10 as a percent?
7/10 as a percent is 70%. Multiply the decimal by 100: 0.7 × 100 = 70%.
What is 0.7 as a fraction?
0.7 as a fraction is 7/10, in lowest terms.
How many millimetres is 7/10 of an inch?
7/10 of an inch is 17.78 mm, or 1.778 cm. An inch has been defined as exactly 25.4 mm since 1959, so this conversion is a definition rather than a measurement — the millimetre value is exact too.
Where is 7/10 on a tape measure?
7/10 is not a mark on any imperial rule — the denominators on a rule are all powers of two, and 10 is not one. The nearest marks are 11/16 on a 1/16 rule, 11/16 on a 1/32 rule, 45/64 on a 1/64 rule, none of them exact.