Repeating Decimals to Fractions
Convert 0.777777... to a fraction in simplest form. The digit 7 repeats forever.
7/9.
Simplify √80 completely.
4√5
Simplify √6 × √6.
6
Simplify 7√5 - 2√5.
5√5
Convert 0.454545... to a fraction in simplest form.
5/11
Simplify ∛250 completely.
5∛2
Simplify (3√2)(4√5).
12√10
Simplify 3√7 + √28 completely.
5√7
Convert 0.216216216... to a fraction in simplest form.
8/37
Simplify √(98x⁴) completely. Assume x ≥ 0.
7x²√2
Simplify (2√6)(3√15) completely.
18√10
Simplify √45 + √32 completely. Can the resulting terms be combined?
3√5 + 4√2
Convert 1.363636... to an improper fraction in simplest form.
15/11.
Simplify √(108x⁷) completely. Assume x ≥ 0.
6x³√(3x)
A rectangle has length 3√12 cm and width 2√6 cm. Find its exact area in simplest radical form.
36√2 cm²
Simplify 2√98 - 3√8 + √50 completely.
13√2
Convert 2.144144144... to an improper fraction in simplest form.
238/111.
Simplify ∛(128x¹¹) completely.
4x³∛(2x²)
Simplify (2√6)(-3√10)(√15) completely.
-180
Simplify 4√12 - 2√27 + √32 + √72 completely.
2√3 + 10√2