Giải Bài 117 trang 34 sách bài tập Toán 6 - Cánh diều

Đề bài

Rút gọn các phân số sau về phân số tối giản:

a)     \(\frac{{12}}{{24}};\frac{{13}}{{39}};\frac{{35}}{{105}}\)

b)    \(\frac{{120}}{{245}};\frac{{134}}{{402}};\frac{{213}}{{852}}\)

c)     \(\frac{{234}}{{1170}};\frac{{1221}}{{3663}};\frac{{2133}}{{31995}}\)

Lời giải chi tiết

a)     Ta có: \(\begin{array}{l}\frac{{234}}{{1170}} = \frac{{234:234}}{{1170:234}} = \frac{1}{5};\\\frac{{1221}}{{3663}} = \frac{{1221:1221}}{{3663:1221}} = \frac{1}{3};\\\frac{{2133}}{{31995}} = \frac{{2133:2133}}{{31995:2133}} = \frac{1}{{15}}.\end{array}\)

b)    Ta có: \(\begin{array}{l}\frac{{120}}{{245}} = \frac{{120:5}}{{245:5}} = \frac{{24}}{{49}};\\\frac{{134}}{{402}} = \frac{{134:134}}{{402:134}} = \frac{1}{3};\\\frac{{213}}{{852}} = \frac{{213:213}}{{852:213}} = \frac{1}{3}.\end{array}\)

c)     Ta có: \(\begin{array}{l}\frac{{234}}{{1170}} = \frac{{234:234}}{{1170:234}} = \frac{1}{5};\\\frac{{1221}}{{3663}} = \frac{{1221:1221}}{{3663:1221}} = \frac{1}{3};\\\frac{{2133}}{{31995}} = \frac{{2133:2133}}{{31995:2133}} = \frac{1}{{15}}.\end{array}\)