# Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1 - Page 48: 67

$\frac{36}{49}$

#### Work Step by Step

RECALL: $\frac{a}{b}\div\frac{c}{d} =\frac{a}{b}\times\frac{d}{c}$ We use the rule above to obtan: $(\frac{5}{7})\times(-\frac{6}{5})\times(-\frac{6}{7})$ Then, we multiply the numerators by each other and multiply the denominators by each other: $\frac{5\times-6\times-6}{7\times5\times7}$ Now, we cancel out the common factors in the numerator and the denominator to simplify the expression: $\frac{5\times-6\times-6}{7\times5\times7}=\frac{1\times-6\times-6}{7\times1\times7}=\frac{36}{49}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9334464073181152, "perplexity": 529.8099864136029}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-39/segments/1537267155413.17/warc/CC-MAIN-20180918130631-20180918150631-00504.warc.gz"}