Rút gọn: a, 31995-81/ 42660-108 b, 3.5.7.11.13.37-10101/ 1212120+40404 01/09/2021 Bởi Hailey Rút gọn: a, 31995-81/ 42660-108 b, 3.5.7.11.13.37-10101/ 1212120+40404
a, $\frac{31995 – 81}{42660 -108}$ = $\frac{395 . 81 – 81}{395.108-108}$ =$\frac{81 . 394}{394.108}$ = $\frac{81}{108}$ = $\frac{3}{4}$ b, $\frac{3 . 5 . 7 . 11 . 13 . 37 – 10101}{1212120 + 40404}$ = $\frac{3 . 5 . 7 . 11 . 13 . 37 – 3 . 7 . 13 . 37}{3.7.12.13.37.10 + 3.4.7.13.37}$ = $\frac{(3.7.13.37)(5.11-1)}{(3.7.13.37)(120 + 4)}$ = $\frac{5.11-1}{120 + 4}$ = $\frac{54}{124}$ = $\frac{27}{62}$ Bình luận
Đáp án: \(a,\ \dfrac{3}{4}\\ b,\ \dfrac{27}{62}\) Giải thích các bước giải: \(a,\ \dfrac{31995-81}{42660-108}=\dfrac{31914}{42552}=\dfrac{30914:10638}{42552:10638}=\dfrac{3}{4}\\ b,\ \dfrac{3.5.7.11.13.37-10101}{1212120+40404}\\ =\dfrac{(3.5.7.11.13.37)-10101}{1212120-40404}\\ =\dfrac{555555-10101}{1212120+40404}\\ =\dfrac{545454}{1252524}\\ =\dfrac{545454:20202}{1252524:20202}=\dfrac{27}{62}\) chúc bạn học tốt! Bình luận
a, $\frac{31995 – 81}{42660 -108}$
= $\frac{395 . 81 – 81}{395.108-108}$
=$\frac{81 . 394}{394.108}$
= $\frac{81}{108}$ = $\frac{3}{4}$
b, $\frac{3 . 5 . 7 . 11 . 13 . 37 – 10101}{1212120 + 40404}$
= $\frac{3 . 5 . 7 . 11 . 13 . 37 – 3 . 7 . 13 . 37}{3.7.12.13.37.10 + 3.4.7.13.37}$
= $\frac{(3.7.13.37)(5.11-1)}{(3.7.13.37)(120 + 4)}$
= $\frac{5.11-1}{120 + 4}$
= $\frac{54}{124}$ = $\frac{27}{62}$
Đáp án:
\(a,\ \dfrac{3}{4}\\ b,\ \dfrac{27}{62}\)
Giải thích các bước giải:
\(a,\ \dfrac{31995-81}{42660-108}=\dfrac{31914}{42552}=\dfrac{30914:10638}{42552:10638}=\dfrac{3}{4}\\ b,\ \dfrac{3.5.7.11.13.37-10101}{1212120+40404}\\ =\dfrac{(3.5.7.11.13.37)-10101}{1212120-40404}\\ =\dfrac{555555-10101}{1212120+40404}\\ =\dfrac{545454}{1252524}\\ =\dfrac{545454:20202}{1252524:20202}=\dfrac{27}{62}\)
chúc bạn học tốt!