Câu 6 :
\(\dfrac{7}{5} - \dfrac{a}{4} = \dfrac{13}{20} \)
\(\dfrac{28}{20} - \dfrac{5a}{20} = \dfrac{13}{20} \)
\(28 - 5a = 13\)
\(5a = 28 - 13\)
\(5a = 15\)
\(a = 15 : 5\)
\(a =3\)
Bài 7 :
Theo đề bài ta có :
\(\dfrac{53-m}{90} = \dfrac{5}{9}\)
\(\dfrac{53-m}{90} = \dfrac{50}{90}\)
\(53-m=50\)
\(m=53-50\)
\(m = 3\)
Vậy số \(m\) cần tìm là \(3 . \)
Đáp số : \(3 . \)
Câu 8:
\(A=\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+...+\dfrac{1}{7\times8}\)
\(A=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{7}-\dfrac{1}{8}\)
\(A=\dfrac{1}{2}-\dfrac{1}{8}=\dfrac{3}{8}\)
Câu 6:
\(\dfrac{7}{5}-\dfrac{a}{4}=\dfrac{13}{20}\)
\(=\dfrac{28}{20}-\dfrac{5\times a}{20}=\dfrac{13}{20}\)
\(=28-5\times a=13\)
\(=5\times a=15\)
\(a=3\)