Simplify 5$\dfrac{1}{4}$ + 4$\dfrac{3}{4}$ + 7$\dfrac{5}{8}$ + 6$\dfrac{7}{8} \div$ 11$\dfrac{11}{13}$
$\dfrac{98}{47}$
$\dfrac{108}{49}$
$\dfrac{98}{45}$
$\dfrac{96}{47}$
Explanation:
convert mixed fractions into improper fractions we get
=($\dfrac{21}{4}+\dfrac{19}{4}+\dfrac{61}{8}+\dfrac{55}{8}) \div \dfrac{47}{4}$
=($\dfrac{42+38+61+55}{8})\times \dfrac{4}{47}$
=$\dfrac{196}{8} \times \dfrac{4}{47}$ by cancellation we get
=$\dfrac{98}{47}$
convert mixed fractions into improper fractions we get
=($\dfrac{21}{4}+\dfrac{19}{4}+\dfrac{61}{8}+\dfrac{55}{8}) \div \dfrac{47}{4}$
=($\dfrac{42+38+61+55}{8})\times \dfrac{4}{47}$
=$\dfrac{196}{8} \times \dfrac{4}{47}$ by cancellation we get
=$\dfrac{98}{47}$