Question

efetue as multiplicaçoes e divisoes e quando possivel simplifique ; a) 4/10× 5/2. b) 2/3x 1/4x 8/5. c)9/16÷ 3/4 d)2/3÷4/5​

Answer 1

Siga a resolução da questão

Item a:

$\mathtt{ \frac{4}{10} \times \frac{5}{2} } \\ \\ \mathtt{ \frac{4 \times 5}{10 \times 2} } \\ \\ \mathtt{ \frac{20}{20} } \\ \\ \boxed{\mathtt{1}}$

Item b:

$\mathtt{ \frac{2}{3} \times \frac{1}{4} \times \frac{8}{5} } \\ \\ \mathtt{ \frac{2 \times 1 \times 8}{3 \times 4 \times 5} } \\ \\ \mathtt{ \frac{16}{3 \times 4 \times 5} } \\ \\ \mathtt{ \frac{16}{60} } \\ \\ \mathtt{ \frac{16 \div 4}{60 \div 4} } \\ \\ \boxed{\mathtt{ \frac{4}{15} }}$

Item c:

$\mathtt{ \frac{9}{16} \div \frac{3}{4} } \\ \\ \mathtt{ \frac{9}{16} \times \frac{4}{3} } \\ \\ \mathtt{ \frac{9 \times 4}{16 \times 3} } \\ \\ \mathtt{ \frac{36}{48} } \\ \\ \mathtt{ \frac{36 \div 12}{48 \div 12} } \\ \\ \boxed{\mathtt{ \frac{3}{4} }}$

Item d:

$\mathtt{ \frac{2}{3} \div \frac{4}{5} } \\ \\ \mathtt{ \frac{2}{3} \times \frac{5}{4} } \\ \\ \mathtt{ \frac{2 \times 5}{3 \times 4} } \\ \\ \mathtt{ \frac{10}{12} } \\ \\ \mathtt{ \frac{10 \div 2}{12 \div 2} } \\ \\ \boxed{\mathtt{ \frac{5}{6} }}$

Att: José Armando