Question

You spent 1 1/2 hours on homework last night and 1/4 of that time was spent on mathematics.What fraction of an hour did you spend on mathematics?

Answer 1

Answer:

1/4of1 1/2

1/4×3/2=3/8

i spent 3/8=2hours 36mins on mathematics

Answer 2

Answer:

I spend $\frac{3}{8}$part of fraction of an hour on Mathematics.

Step-by-step explanation:

Given,

I spent $1 \frac{1}{2}$ hours on homework last night and $\frac{1}{4}$ of that time was spent on mathematics.

Here first I spent $1 \frac{1}{2}$ hours $= \frac{2 + 1}{2} = \frac{3}{2}$ hours on home work.

Now I spent $\frac{1}{4}$ of $\frac{3}{2}$ hour on Mathematics.

So,I spent on Mathematics

$= \frac{1}{4} \times \frac{3}{2} = \frac{3}{8} \: hours$

Now we want to find What fraction of an hour did you spend on mathematics ?

Here one hour means 1 part.

By Unitary method,

1 hour means 1 part of fraction

Then $\frac{3}{8}$ hours means

$1 \times \frac{3}{8} = \frac{3}{8}$

part of fraction.

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549