https://tex.z-dn.net/?f=0.1%2850%29%3D5%5C%5C-------------------%5C%5Cif%5C+0.1%2850%29%3D0.1505050...%5C+then%3A%5C%5C%5C%5Cx%3D0.1%2850%29%5C+%5C+%5C+%5C+%7Cmultiply%5C+both%5C+sides%5C+by%5C+10%5C%5C%5C%5C10x%3D1.%2850%29%5C+%5C+%5C+%5C+%7Cmultiply%5C+both%5C+sides%5C+by%5C+100%5C%5C%5C%5C1000x%3D150.%2850%29%5C%5C%5C%5C1000x-10x%3D150.%2850%29-1.%2850%29%5C%5C%5C%5C990x%3D149%5C+%5C+%5C+%5C+%5C+%5C+%7Cdivide%5C+both%5C+sides%5C+by%5C+990%5C%5C%5C%5C%5Cboxed%7Bx%3D%5Cfrac%7B149%7D%7B990%7D%7D