For rational numbers a-b- c-d and e-f- what is a-b- c-d - e-f -

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Distributive Property

For rational ...

Question

For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ , what is $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f})$ ?

Open in App

Solution

$\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) = \frac{a}{b} \times \frac{c}{d} + \frac{a}{b} \times \frac{e}{f} = \frac{a c}{b d} + \frac{a e}{b f}$ [Using the distributive property of multiplication over addition]

Suggest Corrections

Similar questions

Question 37
For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ , we have $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) =$ ___ + ____

Question 37
For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ , we have $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) =$ ___ + ____

Q. Six numbers a, b, c, d, e and f are such that

\frac{b}{a} = \frac{c}{b} = \frac{d}{c} = \frac{e}{d} = \frac{f}{e}

. If b = 0.4, d = 1.6 and e = 3.2, then the value of (a + c + e) – (b + d + f) is

छः संख्याएं a, b, c, d, e व f इस प्रकार हैं कि

\frac{b}{a} = \frac{c}{b} = \frac{d}{c} = \frac{e}{d} = \frac{f}{e}

. यदि b = 0.4, d = 1.6 तथा e = 3.2, तब (a + c + e) – (b + d + f) का मान है

Q. D, E, F are the mid-point of the sides BC, CA and AB respectively of ΔABC. Then ΔDEF is congruent to triangle

(a) ABC

(b) AEF

(c) BFD, CDE

(d) AFE, BFD, CDE

Q. If ∆ABC ∼ ∆EDF and ∆ABC is not similar to ∆DEF, then which of the following is not true?
(a) BC ⋅ EF = AC ⋅ FD
(b) AB ⋅ EF = AC ⋅ DE
(c) BC ⋅ DE = AB ⋅ EF
(d) BC ⋅ DE = AB ⋅ FD

Join BYJU'S Learning Program

For rational numbers ab,cd and ef, what is ab×(cd+ef)?

ab×(cd+ef)=ab×cd+ab×ef=acbd+aebf [Using the distributive property of multiplication over addition]

For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ , what is $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f})$ ?

$\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) = \frac{a}{b} \times \frac{c}{d} + \frac{a}{b} \times \frac{e}{f} = \frac{a c}{b d} + \frac{a e}{b f}$ [Using the distributive property of multiplication over addition]