What is 15-[7-(2 1/4+1 7/8)] ?

The solution to 15-[7-(2 1/4+1 7/8)] is 12 1/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

15-[7-(2 1/4+1 7/8)]

15 - [7 - (2 \frac{1}{4} + 1 \frac{7}{8})]

12 \frac{1}{8}

Solution steps

15 - [7 - (2 \frac{1}{4} + 1 \frac{7}{8})]

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

= 15 - [7 - (\frac{9}{4} + 1 \frac{7}{8})]

Convert mixed numbers to improper fractions:

1 \frac{7}{8} = \frac{15}{8}

= 15 - [7 - (\frac{9}{4} + \frac{15}{8})]

Follow the PEMDAS order of operations

Calculate within parentheses

[7 - (\frac{9}{4} + \frac{15}{8})] : \frac{23}{8}

= 15 - \frac{23}{8}

Add and subtract (left to right)

15 - \frac{23}{8} : \frac{97}{8}

= \frac{97}{8}

Convert improper fractions to mixed numbers:

\frac{97}{8} = 12 \frac{1}{8}

= 12 \frac{1}{8}

- 3 (- 2) \div 6

+ 30 - 10 - 20

- 3 (3)^{2} + 1

8 1^{2} - 1

(10 - 2) - 3 + (8 + 7 - 5)